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201 Answered Questions for the topic Limits

8d

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... more
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... more
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... more
Limits Math Calculus

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... more
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)
Limits Math Calculus

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

06/13/20

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)... more

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.

09/19/19

Compute f'(a) in two ways

f(x)=x3+2x a=1

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... more

03/23/19

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.... more

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... more

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... more

03/15/19

What is a simple example of a limit in the real world?

This morning, I read Wikipedia's informal definition of a limit: > Informally, a function f assigns an output $f(x)$ to every input $x$. The > function has a limit $L$ at an input $p$ if... more
Limits

02/17/19

Any tips to solve these limits ?

Concidering that f  is continious over the interval [0;1] lim n→∞ ∫01 ( f (x) /x+n ) dxlim n→∞ ∫01 (xn f (x) ) dxlim n→∞... more

01/22/19

Limx->0[(x-1+cos x/x)]^1/x

Simplify in terms of e.options are (a)e^1/2 (B)e^1/3 (C)e^-1/2 ... more

09/27/18

Continuity at a Point

Show that f(x) is continuous at x=a if and only if lim(h→0) f(a+h) = f(a).     How?    
Limits

09/01/18

Evaluate the limit

Limx→1 (√x2+6x)-(√7) / (x-1)
Limits Calculus

09/01/18

Evaluate each limit

limθ→0 (5cos2θ-5)/(4θ)
Limits Calculus 1

09/01/18

Evaluate the limit

Limx→-2 ((2/3)+(4/x-4))/(x+2)

08/31/18

How do you use the squeeze theorem to find the given limit

limx→0 xsinx
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