66 Answered Questions for the topic limits of a function

11/09/18

#### Question of limits IIT JAM

Let an=bn+1/bn, where b1=1 b2=1 bn+2 = bn+1 + bn , n belongs to...
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06/07/18

#### Points of discountuity

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

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 !
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06/03/18

#### Limits at infinity

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

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?

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))

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

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...
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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

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

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...
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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...
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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

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?

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?

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

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

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

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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