223 Answered Questions for the topic Limits

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

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

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)

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.

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

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... more
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... more

Find N(a) such that f(n)<a for all n>N(a) where f(n)=1/(5n^2-8).

n are natural numbers, and a is a real positive number. I can find N in terms of a but this question is from a epsilon-delta limit chapter, so I have no idea how to find it whilst relating it to... more
Limits

07/21/18

solving limits

lim      sin2x x->0       x

07/01/18

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?  

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