185 Answered Questions for the topic limits of a function

Limits Of A Function Calculus Trigonometry Algebra

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)
Limits Of A Function Calculus Algebra

04/23/22

#### 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

04/18/22

#### Solve the limit

lim(x--->0^+) (e^x+x)^2/x

03/26/22

#### limit of the sequence

Find the limit of the sequence an={sin(n)/n}, if it exists
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?... more
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
Limits Of A Function Calculus Limits

03/20/22

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... more
Limits Of A Function Calculus Calc

03/06/22

#### 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... more
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= ?
Limits Of A Function Calculus Precalculus L'hopitals Rule

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... more
Limits Of A Function Calculus Precalculus

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... more
Limits Of A Function Calculus Area

11/19/21

#### 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
Limits Of A Function Calculus Derivative Volume

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.... more
Limits Of A Function Calculus Derivative Volume

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
Limits Of A Function Calculus Derivative Volume

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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