66 Answered Questions for the topic limits of a function

Question of limits IIT JAM

Let an=bn+1/bn, where b1=1 b2=1 bn+2 = bn+1 + bn , n belongs to... more

solving limit

lim       ((2+h)^2-(2)^2) h->0              h  

Points of discountuity

how do we find pointa of discountity of trignometric functions such as tan^-1(5x)   or sec(5x)

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

Limits at infinity

i am confused, we should divide the whole fractions by the greatest power right?

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?

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))

Find limits algebraically and by manual graphing

lim      x2+6x+5/x2-3x-4 x->-1    lim    (√2x+3)-3/9-x2 x-->3    

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

If lim x-->2( f(x)-5)/(x-2) = 100, find lim x-->2 f(x)

How would I go about this problem?

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 

limit of (root(x^2-7) - 4) / x^2 - 3x as x approaches 3

need to manipulate this so the denominator isn't 0

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

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

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 

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?

Evaluate the limit, if it exists.

lim x-->3    (1/x-1/3)/(x-3)

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?

is there a limit of the equation (x+ sinx)/x

idk what to type here i just need help

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

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

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

Limit problem

How do you find the limit of (x2/3-1) / (x-1) as x approaches 1.

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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