188 Answered Questions for the topic limits of a function

Limits Of A Function Trigonometry Limits Derivatives

06/07/18

Points of discountuity
how do we find pointa of discountity of trignometric functions such as tan^-1(5x)   or sec(5x)
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Limits Of A Function Limits Discontinuity Calculus 2

06/06/18

Points of discountity
how do we find the points of discountity of f(x)=8x/5x^2-1?   If i made the denominator =0 i would get squared 1/5 and then when i will plug it back it will be undefined or am i doing it wrong !   more
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06/03/18

Limits at infinity
i am confused, we should divide the whole fractions by the greatest power right?
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Limits Of A Function Calculus Limits Calculus 2

05/31/18

Confused about limits?
As lim x approaches -3 of x^2-3x/x^2-9   1.how can you solve it in a step by step i am really confused 2. When finding the sided limit we subsitutw in the original function or after we factor it?
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Limits Of A Function Limits

01/29/18

Finding a limit by looking at the function
Find the indicated limit, if it exists. (If an answer does not exist, enter DNE.) lim (x->infinity)   ((24 x^4 - x^3 + x + 8)/(8 x^4 + 2 x^3 + x^2 + 5x + 14))
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Limits Of A Function

01/28/18

Find limits algebraically and by manual graphing
lim      x2+6x+5/x2-3x-4 x->-1    lim    (√2x+3)-3/9-x2 x-->3    
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Limits Of A Function Limits Limits Involving Trig

12/12/17

As x approaches 0 x / (sin3x)
To solve a limit as x is approaching 0 while the function is x / (sin3x), what is the step by step process...? I've seen many sites online that go through this problem, yet is completely confusing... more
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Limits Of A Function Calculus 1

11/30/17

If lim x-->2( f(x)-5)/(x-2) = 100, find lim x-->2 f(x)
How would I go about this problem?
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Limits Of A Function

09/24/17

Limit as x approaches 1 for (x^2017 - 1)/x-1
 I need to find the limit of this function NOT using L'hospital's rule. It is asking as x approaches 1 
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Limits Of A Function Calculus 1

09/17/17

limit of (root(x^2-7) - 4) / x^2 - 3x as x approaches 3
need to manipulate this so the denominator isn't 0
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Limits Of A Function Math Calculus Limits

08/26/17

Is there a number to "a" such that the limit exists? If so, find the value of "a" and find the limit. If not, explain why.
Find the limit as "x" approaches 3 F(x)= (2x2-3ax+x-a-1)/ x2-2x-3 **I already know that if you substitute in 3 for x, the denominator will be 0 and therefore it cannot exist. I'm wondering if... more
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08/10/17

Find the limit as x -> -2 of f(x) = (x^2 - 3x + a) / (x^2 + x - 2)
Find the limit as x --> -2 of f(x) = (x2 - 3x + a)/(x2 + x - 2)   I've never see a limit problem before where there are two variables: in this example we have 'x' AND 'a'. This question was on... more
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Limits Of A Function

07/28/17

Discuss the behaviour of y=x^2-x-12/2x^2+7x+3=(x-4)(x+3)/(2x+1)(x+3) as x approaches zero and x approaches infinity
Finding limits as x appraoches zero and infinity 
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Limits Of A Function Limits

07/25/17

lim (x,y)->(0,0) of (y-sin(y))/(x^2+y^2)
I have this function for (x,y)=(0,0) f=0 and on the other f=(y-sin(y))/(x^2+y^2) is lim (x,y)->(0,0) of (y-sin(y))/(x^2+y^2) = 0 ? according to wolfarm no but can someone show me why?
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07/04/17

Evaluate the limit, if it exists.
lim x-->3    (1/x-1/3)/(x-3)
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Limits Of A Function Calculus Limits

04/05/17

Evaluate the limit and explain. What is the limit at x approaches 9? Why does the limit not exist?
limit as x approaches 9 at (x+5)/[(sqrt of x)-3] Why does this limit not exist?
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Limits Of A Function

01/24/17

is there a limit of the equation (x+ sinx)/x
idk what to type here i just need help
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12/28/16

Finding critical points and limits.
Let f(x,y) = 1/(x2 - y) (a) Determine the critical points of f.(b) Does the limit of the function f at the point (0, 0) exist? Justify your answer
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Limits Of A Function

09/05/16

Find f(x) and g(x) that do not have a limit at x=0, but (fg)(x) does have a limit at x=0
 The two individual functions have no limit at x=0 but their product does have a limit at x=0
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Limits Of A Function

05/16/16

calculate limit of f(x,y) as (x,y) tends to 0 and f(x,y) is defined as 1 when x,y is not equal to 0 and is 0 when x,y is equal to 0
calculate limit of f(x,y) as (x,y) tends to 0 and f(x,y) is defined as 1 when x,y is not equal to 0 and is 0 when x,y is equal to 0
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Limits Of A Function

03/06/16

Limit problem
How do you find the limit of (x2/3-1) / (x-1) as x approaches 1.
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Limits Of A Function

02/01/16

whats the limit as x->infinity of the function x-sqrt(x+1)*sqrt(x+3)?
hi! i have no idea how to solve this problem. Can someone help me?
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Limits Of A Function

12/26/15

find the limit of X has it approaches 2 , ln((x/(e^(x-1))
ln(X divided by e^(x-1))
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Limits Of A Function Rationalization

08/19/15

how to rationalize a radical in numerator
square root of (x+1) - 1 / (x)     for limit as x approaches 0
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Limits Of A Function Graphs

05/28/15

Given the function complete the following
 f(x)={x+3   if x<-2, |x-1|-3  if -2≤x<3,   -1  if x>3   a. Graph the function.   Based on the graph, find the following values:   b. limx→-2- f(x) c. limx→-2+ f(x) d. limx→-2... more
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