187 Answered Questions for the topic Limits

#### 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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08/29/18

#### Consider the following limit. lim x→2 (3x + 2) Find the limit L.

Well I know that the limit L is equal to eight. I know I get 8 by plugging in the 2 into 3x+2, but then it asks me the following:
(a) Find δ > 0 such that |f(x) − L| < 0.01 whenever 0...
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Limits

08/27/18

#### Help!! I'm stuck with this limit. Limx-->5(from the positive end) (1/ln(x-5)

I have tried using math calculators like symbolab and wolframalpha but they all cannot compute when I put the limit from the positive end. I know the answer is either 0 or DNE. But I cannot work it...
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#### What is the difference between [2, infinity) and (1, infinity)?

Don’t the both of them mean the same? i.e from 2 to infinity?
There was this one mcq which had both of these options. So how do yoy differentiate between the two?

#### Let the variable Z take in succession the values 6,6 1/2,6 2/3,6 4/5,............. then Z ->

O, 5, 6 or 6,

Limits

06/29/18

#### f(n)>0 for all n£N

if f(n+1)=1/2( f(n)+(9/f(n)) ) , n€N and f(n)>0 for all n€N then find lim n-infinity f(n) .

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