22 Answered Questions for the topic Limit

#### how to use the comparison test to find p

Use the Comparison Test to determine for what values of p the integral 2 to infinity of 1 all over x raised to p times the ln(x) dx converges.

#### Evaluate using Limit Definition

Evaluate1∫(x+x^2)dx0by using the limit definition. (Hint ∑k=1 k^2 = n(n+1)(2n+1)/6 )

Limit Calculus

11/01/19

#### What is Lim (x ) t→0 / (cos x)?

09/19/19

#### Use the limit definition to compute f'(a) and find an equation of the tangent line.

f(x)=2x2+10x, a=3

#### Calculus Study Guide Help:

I need help answering the following questions from my study guide:
When a circular plate of metal is heated in an oven, its radius increases at a rate of 0.03 cm/min. At what rate is the plates...
more

11/13/18

#### Find the absolute max and min if they exist

For f(x) = 2 + 3x - x3 over (-1,2).I found the first point is x = 1Then took the limit as x goes towards 2 from the left and got 0Then limit as x goes towards -1 from the right of the equation and...
more

#### Calculus: Finding x, Derivative and Limit

1) Find x if e5-6x = 5.2) Find derivative of g(x) = ex √x with respect to x.3) Evaluate following limit:lim ln(sin(x))x -> 0+

Limit

11/11/17

#### X^3-6x^2+8x-3 how to factor please, using x-1 Thank you!

X^3-6x^2+8x-3 how to factor please, using x-1 Thank you!

07/20/17

#### Help with limit

lim x→3 (x3 − 13x2 + 51x − 63) / (x3 − 4x2 − 3x + 18) = a / 5
Find the value of a. (It is supposue to be -4. Why?)

Limit

03/22/17

#### Lim x approaches 1 [(e^x - e) / (x - 1)]

Can someone please algebraicly explain to me why the answer to this is "e"? Without L'hospital please.
Thank you.

Limit Functions

09/20/16

#### Find the two functions f and g such that the lim x -> 0 f(x) and lim x -> 0 g(x) do not exist, but lim x -> 0 [f(x)+g(x)] does exist.

Even I split
lim [f(x)+g(x)] into lim f(x) + lim g(x)
x→0 x→0 x→0
It does nothing as both
lim f(x) AND lim g(x) do not exist
x→0 ...
more

09/20/16

#### Suppose that a function f is continuous on the closed interval [0,1] and that 0 <= f(x) <= 1 for every x in [0,1].

Show that there must exist a number c in [0,1] such that f(c)=c

05/31/16

#### Find the limit of logx^2/ ({log x^2 + log (36-12x+x^2)} from 4 to 2. Please help!!

Please help me to find the limit here.
Answers will be appreciated. Thanks in advance

#### How can I find the limit of this function

Which is the lim 7-3x for x→+∝

#### lim of (1-cos5x)/(cos6x-1) as x->0

lim of (1-cos5x)/(cos6x-1) as x->0

#### lim of (x+1)/(x+2) when x->3+

lim (x+1)/(x+2)
x->3+
how would a + or - on c change anything when solving without a graph?

#### Use the limit process to find the slope of the line tangent to the graph

Let f(x)- 6x4+2
A) Use the limit process to find the slope of the line tangent to the graph of f at x=4
the slope at x=4 is?
B) Find an equation to the line tangent to the graph of f at...
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#### Use the limit process to find the slope of the line tangent to the graph

Let f(x)= 6x4+2
1) Use the limit process to find the slope of the line tangent to the graph of f at x=4
what is the slope at x=4?
2) Find an equation of the line tangent to the graph of f at...
more

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