185 Answered Questions for the topic limits of a function

04/23/22

#### internal of convergence of a power series

Determine the interval of convergence of the power series which is the sum from n=0 to infinityof the terms an=[n(x+2)n]/(3n+1)

#### limit comparison test

use the limit comparison test to establish the convergence or divergence of the series which is the sum from n=1 to infinity of the terms an = (2n2+3n)/[(5+n5)1/2]

Limits Of A Function Calculus

03/23/22

#### How would I evaluate the following limit?

lim 3√x-4 / x-64x->64 How would I answer this?at first I tried doing the change of variables and I ended up with an extremely large answer. now I’m thinking of rationalizing the numerator?...
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Limits Of A Function Calculus

03/20/22

#### If f(x) is differentiable, then what is the values of b?

f(x) =
5x + ax^4, x > 2
bx^2 - 3x, x ≤ 2

Limits Of A Function Calculus

03/20/22

#### what value(s) of k would make f(x) continuous at 5?

f(x)=
2x^2 - 8x + 2, x ≤ 5
kx^2 + 6x + 7, x>5

Limits Of A Function Calculus

03/20/22

#### is f(x) continuous at x=3?

f(x)=
x^2 + 1, x<3
9 , x=3
4x-1, x>3

#### How would I go about answering this limit question?

Give examples of two functions, the first has a lim f(x) = 8 x->2and a second function for which lim f(x) does not...
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#### Calculus, find the limit

Find the limit of sin3x/(5x^3 - 4x) as x goes to zero.

Limits Of A Function Calculus

02/21/22

#### Determine a delta for an arbitrary epsilon

1. The following graph of the function f satisfies x→3limf(x)=−1. Determine a value of epsilon>0 that satisfies the following: If 0<|x−3|<epsilon, then |f(x)+1|<1. 2. Use the precise...
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Limits Of A Function Calculus

02/18/22

#### use the given values of x to set up a table to evaluate the limit. Round your solution to eight decimal places

Lim sin3x/xx-->0
x
Sin 3x/x
x
Sin 3x/x
-0.1
0.1
-0.01
0.01
-0.001
0.001
-0.0001
0.0001

Limits Of A Function Calculus

02/06/22

#### Calculus Question

Suppose f and g are continuous functions such that g(2) = 3 and lim x → 2 [3f(x) + f(x)g(x)] = 24. Find f(2).

Limits Of A Function Calculus

02/06/22

#### Calculus Question

Find the values of a and b that make f continuous everywhere.
f(x) =
x2 − 4
x − 2
if x < 2
ax2 − bx + 3
if 2 ≤ x < 3
2x − a + b
if x ≥ 3
a= ?b= ?

12/07/21

#### Why does 'Hopital not work here?

Can you find the this limit using l'Hopital? If not then why not? I am confused on whether it works here and how I would know not to use it.lim x->0 (1-cos4x) / (1-cos6x)

Limits Of A Function Calculus

11/25/21

#### How do we know?

There are some limits when evaluated give 0/0 ,∞/∞ or some other undefined thing yet if we solve it in a particular way there does exist a limit.But some simply can't be evaluated and are always...
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11/21/21

#### How does this make sense?

In my books example it says:whenever 0 < |x| < δ Now , x=δ/2 and x=-δ/2 satisfy the above inequality.How does x=-δ/2 satisfy the above inequality because -δ/2 is clearly less than zero and...
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#### You are building 5 identical pens next to each other. What dimensions minimize the amount of fencing if you want each area small area to be 375 square feet

You are building 5 identical pens next to each other. What dimensions minimize the amount of fencing if you want each area small area to be 375 square feet.Any help would be amazing

11/18/21

#### Find the dimensions of the box that minimize cost.

You are constructing a box for your cat to sleep in. The plush material for the square bottom of the box costs $5/ft2 and the material for the sides costs $2/ft2. You need a box with volume 4 ft2....
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11/17/21

#### Find the dimensions of the box that minimize cost.

You are constructing a box for your cat to sleep in. The plush material for the square bottom of the box costs $5/ft2 and the material for the sides costs $2/ft2. You need a box with volume 4 ft2....
more

11/17/21

#### Find the dimensions of the box that minimize cost.

You are constructing a box for your cat to sleep in. The plush material for the square bottom of the box costs $5/ft2 and the material for the sides costs $2/ft2. You need a box with volume 4 ft2....
more

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