188 Answered Questions for the topic limits of a function

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

11/14/21

Let 𝑓 be a function such that lim ℎ→0 𝑓(3+ℎ)−𝑓(3) / ℎ = 5. Which ones must be true?

(a)𝑓 is continuous at 𝑥 = 3(b) 𝑓 is differentiable at 𝑥 = 3 (c) The derivative of 𝑓 is continuous at 𝑥 = 3 (d) 𝑓 can be integrate at 𝑥 = 2 (e) The area under the curve 𝑓 around 𝑥 = 3 is 5
Limits Of A Function Calculus Calculus Precalculus

11/14/21

How is this equal to one?

√(x+Sx)-√x limSx→0 sin ( 2 ) = 1 (How is this equal to one?) √(x+Sx)-√x ... more
Limits Of A Function Calculus Precalculus Functions

11/13/21

How to evaluate this limit?

((((((((https://drive.google.com/file/d/1I7an_KPDQdQ1hcOiBluEnMFNLoQk35dw/view?usp=drivesdk)))))))How is that equal to 1.
Limits Of A Function Calculus Functions

11/08/21

How to evaluate continuity of this function?

f(x) = {((e1/x )/(1+e1/x)) if x ≠ 0 {1 if x= 0Now I can either directly put x=0 in left and right hand limits after evaluatingf(0) = 1.In which case 1/x approaches infinity and function... more
Limits Of A Function Calculus

11/03/21

Let f(x) = |x-8|. Evaluate the following functions

I have to find the right and left hand limits of this function when approaching 8. Lim (x-> 8-) (f(x) - f(8))/x-8 = ?Lim (x-> 8+) (f(x) - f(8)/x-8
Limits Of A Function Calculus Algebra

10/29/21

Find the value(s) of the constant k that make the function continuous everywhere.

Find the value(s) of the constant k that make the function continuous everywhere.f(x)= {x+k x <= 5 kx^2 x> -5
Limits Of A Function Calculus

10/29/21

L'Hospital's Rule; Indeterminate Forms. How do I get the answer to this?

Everyway I've tried has failed. Please help
Limits Of A Function Calculus Precalculus Functions

10/10/21

Let g(x)=-3x2 +ax+1.

Let g(x)=-3x2 +ax+1.Determine the number a such that the tangent line to the curve y=g(x) at the point (4, g(4)) is parallelto the line y=6x+53.what is the value of a?
Limits Of A Function Calculus Precalculus Functions

10/10/21

Let c be a fixed number and consider the function f(x) = x - 2x^3.

Let c be a fixed number and consider the function f(x) = x - 2x^3.simplify the difference quotient f(c+h)−f(c)/h until its deniminator is 1.for all h doesn't equal 0,f(c+h)−f(c)/h = _________
Limits Of A Function Calculus Precalculus

10/10/21

Let f(x)=|8x−6x3|/(x2+1)(3x−8). Find lim x→∞ f(x).

Let f(x)=|8x−6x3|/(x2+1)(3x−8).Find lim x→∞ f(x).
Limits Of A Function Calculus Precalculus

10/10/21

Let f(x)=4/√3x-2. Find the slope of the tangent line to the graph of f at the point (2, 2)

Let f(x)=4/√3x-2.Find the slope of the tangent line to the graph of f at the point (2, 2)help please!!
Limits Of A Function Calculus Precalculus Functions

10/10/21

Let f(x)=2−x/1+x. Determine the y-intercept of the tangent line to the graph of f at the point (1, f (1)).

Let f(x)=2−x/1+xDetermine the y-intercept of the tangent line to the graph of f at the point (1, f (1))
Limits Of A Function Calculus Precalculus Parabola

10/10/21

Find the slope of the tangent line to the parabola y=x^2−3x−1 at the point (5,9).

please help i don't know how to do this
Limits Of A Function Calculus Derivative

10/06/21

Use algebra to evaluate the limit. lim h->0 ((4/(1+h)^2)-4)/h

We're supposed to use (f(x+h)-f(x))/h but I'm totally lost
Limits Of A Function Calculus

10/06/21

Interact with the graph in order to determine a δ so that if |x - a| Let f(x) = 3x-1 and let x → 2, and suppose that ε = .5 Determine that δ so that |x - a| δ , then |f(x) - L|

Visit this desmos link: https://www.desmos.com/calculator/ba7uaf4teyInteract with the graph in order to determine a δ so that if |x - a| < δ , then |f(x) - L| < ε . Please make sure that your... more
Limits Of A Function Calculus Marginal

10/06/21

The cost function, in dollars, of a company that manufactures food processors is given by C(x)=200+7/x+x^2/7, where x is the number of food processors manufactured.

Find the marginal cost function. Find the marginal cost of manufacturing 12 food processors. Find the actual cost of manufacturing the thirteenth food processor. any help would be amazing

10/05/21

Find the slope of the tangent line to the function f(x)=1/x−3 at a=−1.

any help would be greatly appreciated
Limits Of A Function Calculus Derivative

10/05/21

Use the definition of the derivative to find the f′(x) for f(x)=x+1/x

Note: Using the definition means doing a limit and algebraically solving the limit. If you use the rules from the next section to do this derivative you will receive NO CREDIT.he states this under... more
Limits Of A Function Calculus Mathematics Calc

10/04/21

Evaluate the limit question

((4+8(4^x)) / ((9-2(4^x)) as x approaches infinity
Limits Of A Function Calculus Epsilon

09/29/21

In formally proving that lim x → 1 ( x^ 3 − x^ 2 + 2 x ) = 2 , let ε > 0 be arbitrary. Choose δ = min ( ε/m , 1 ) . Determine m .

i know how to do these problems i just don't know how to do it when you factor it out and it equals x(x^2-x+2)
Limits Of A Function Calculus Epsilon

09/29/21

In formally proving that lim x → − 5 ( 1/6 x + 9 ) = 49/6 , let ε > 0 be arbitrary. Determine δ as a function of

Note: in this case δ will be a function of ε. You will need to write the word epsilon for ε in the answerbox
Limits Of A Function Calculus

09/23/21

calculus math help

hi there im really struggling with these questions Suppose that f is continuous on [0, 6] and that the only solutions of the equation  f (x) = 3 are x = 1 and x = 5. If  f (4) = 5, then which of... more
Limits Of A Function Calculus Discontinuity

09/23/21

sketch a graph of a function f(x) with the following properties

the domain of f is [0,5] limx-->1- F(x) and limx--+ F(x) exist and are equal F(X) has a removeable discontinuity at x=1 F(x) has a jump discontinuity at x=2 The following limits hold... more

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