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...
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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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#### 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)

#### 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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#### 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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#### 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

#### 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...
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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→∞...
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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 ...
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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?

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