186 Answered Questions for the topic Limits

09/19/19

Compute f'(a) in two ways
f(x)=x3+2x a=1
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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
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03/26/19

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
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03/26/19

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
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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
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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... more
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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... more
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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... more
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03/14/19

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
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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
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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 ... more
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09/01/18

Evaluate the limit
Limx→1 (√x2+6x)-(√7) / (x-1)
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09/01/18

Evaluate each limit
limθ→0 (5cos2θ-5)/(4θ)
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09/01/18

Evaluate the limit
Limx→-2 ((2/3)+(4/x-4))/(x+2)
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08/31/18

How do you use the squeeze theorem to find the given limit
limx→0 xsinx
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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... more
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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
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07/21/18

solving limits
lim      sin2x x->0       x
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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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07/01/18

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,  
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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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06/28/18

prove the question
lim x-o ((sinx/x))^(1/x)  =  1
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06/27/18

evaluate the limit
lt n-infinity ((q^n) + (p^n))^(1/n)
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06/27/18

evaluate the following limit
lt x-o( (2x-log(1+2x))/x^2 )
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06/25/18

FInd the 1000th derivative of Ln(x+1)
I am struggling as i know the sequence but got no idea how to describe it mathematically!
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