209 Answered Questions for the topic Limits

4d

#### Consider the function f(x) = -2x3 + x2 – 3x + 4 on the interval [-2,4] and that f(c) = 10

Verify that the Intermediate Value Theorem applies to the indicated interval and find the value of c guaranteed by the theorem

Limits Precalculus

13d

#### Let F(x) = -4x^2-4x+48/2x^2-10x+12

A. Finds lim f(x) x->-infinity and state which shortcut rule was usedB. Find the equation of any horizontal asymptoteC. Find lim f(x) x->2D. Find lim f(x) x->3E. Find the coordinates of...
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Limits Calculus

17d

#### Finding the values of constants a and b

{ ax+3, if x ≤ 5
f(x)={ 8 , if x=5 to be continuous for all x
{ x^2+bx+1, if x>5
I'm looking at a blank paper for minutes now, and I still don't understand how I...
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05/12/21

#### Calculus for solving graph

The graph of g(x): note: below is the link i cannot send the picture because of characters. http://www.mathguide.com/lessons3/Limits3.htmli need help at the part of "Evaluating Limit" part...my...
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05/11/21

#### Limits and Limits of a Function (Basic Calculus)

Please don't forget to provide a step-by-step and a clear solution, so I can study it well afterwards. Thank you!1.) Lim (x^2+2x+1) x-> 12.) Construct the table of values for number 1...
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05/01/21

#### Infinite Limits and Infinity at Limits

1.) Lim x->4+ ( -(x-2)/(4-x) + (5x)/(2x+3) )2.) Lim x-> 3- ( (2x/x-3) - (x+8)/(5x+2) )3.) Lim x-> +∞ ( (8x^4-2x^3+x^2+7x-1) / (2x^4+2x^3-3x+11)4.) Lim x-> +∞ ( (7x^2+2x-10) /...
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04/30/21

#### Infinite Limits and Limits at Infinity

Exercise 4.2 (Number 1 and 2)1.)lim-> 4+ ( -(x-2) / (4-x) + (5x) / (2x+3) )2.) lim-> 3- ( (2x/x-3) - (x+8)/(5x+2) )*note: please include also a solution and a step-by-step explanation for...
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Limits Calculus

04/20/21

#### Limits question

lim as x approaches inifnity (square root of x+3 minus square root of n)Can I say that its infinity - infinity hence its a 0?

11/19/20

#### Which of the following two expressions are equivalent alternatives to the definition of a derivative?

Which of the following two expressions are equivalent alternatives to the definition of a derivative?A: lim j -> 0 f(x) - f(x-j) / j B: lim j -> 0 f(x - j/2) - f(x + j/2)/ j A only B only...
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Limits Calculus

10/27/20

#### CALCULUS DATA IN A TABLE NEED HELP ASAP PLEASE! THANK U

The table of values below shows the rate of water consumption in gallons per hour at selected time intervals from t = 0 to t = 12.Using a left Riemann sum with 5 subintervals, estimate the total...
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Limits Calculus

10/27/20

#### Relative Rates of Growth NEED HELP ASAP PLS!

Which of the following functions grows at the same rate as ex as x goes to infinity? (4 points)Answer Choices
ex+3
e3x
e2x
e-x

Limits Calculus

10/27/20

#### Need help ASAP please! Due tonight :( LIMITS CALCULUS

What does show? (4 points)Answer Choices
g(x) grows faster than f(x) as x goes to infinity.
f(x) and g(x) grow at the same rate as x goes to infinity.
f(x) grows faster than g(x) as x goes...
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09/22/20

#### Is this a use of the Squeeze Theorem?

Two broadcasting signals signals and signal b have amplitudes that can be modeled by mathematical equations. we will attempt to show that signal a and signal b have the same amplitude at some point...
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Limits Calculus

09/14/20

#### Use the Intermediate Value Theorem to show that there is a solution of the given equation in the specified interval.

Use the Intermediate Value Theorem to show that there is a solution of the given equation in the specified interval.e^x=3-2x, (0, 1)

08/16/20

#### Find the result if the following limit exists. If not, find out why.

lim(x;y)--> (0;0) x^3.y/x^6 + y^2

#### Urgent Help - Calculus Graph

How would a function, f, be sketched with the following properties?f(-1)=0, f(0)=2. f ‘(x) > 0 on (-∞, -2) ∪ (-2, 3), f ‘(x) < 0 on (3, ∞).f “(x) > 0 on (-∞, -2) ∪ (0, 3) ∪ (3,∞), f “(x)...
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05/18/20

#### Find the rate of change

given p(t) = 48/(2+10e^-t)
Find the rate of change at time t
evaluate lim t->infinity p'(t)

03/11/20

#### Real life application limits and continuity

Hello I need this today. A real life situation of limits and continuity with problem solving, solution and function model.

08/26/19

#### Can someone help me with rules of limits please! ;-;

The question says to compute the limit and say which limit laws are used.lim f(x) as x approaches 1 = 8lim g(x) as x approaches 1 = 3The problem is: lim cuberoot of [f(x)*g(x) + 3](as x...
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#### What kind of "mathematical object" are limits?

When learning mathematics I tend to try to reduce all the concepts I come across to some matter of interaction between sets and functions (or if necessary the more general Relation) on them....
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03/22/19

#### Defining the derivative without limits?

These days, the standard way to present differential calculus is by introducing the Cauchy-Weierstrass definition of the limit. One then defines the derivative as a limit, proves results like the...
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03/15/19

#### Defining the derivative without limits?

These days, the standard way to present differential calculus is by introducing the Cauchy-Weierstrass definition of the limit. One then defines the derivative as a limit, proves results like the...
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