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188 Answered Questions for the topic limits of a function

Limits Of A Function Math Calculus

09/23/19

find a number δ such that if 0 < |x − 3| < δ then |f(x) − 2| < 0.5. what does δ equal?

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Limits Of A Function Calculus Limits Derivative

09/19/19

Compute f'(a) in two ways

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

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Limits Of A Function Calculus Limit Tangent Line

09/19/19

Use the limit definition to compute f'(a) and find an equation of the tangent line.

f(x)=2x2+10x, a=3

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Limits Of A Function Algebra 2

09/18/19

Piecewise function limits

f(x)=( x2−x−6 /-5x3+15x2 ) x≠0, 3 2 x=0 -1/9 x=3Solve for the limit of f(x) as x approaches 0 from the leftSolve for the... more

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Limits Of A Function Calculus Absolute Value

08/29/19

Can someone help me with limits and absolute values please? :)

The instructions are to find the limit. My brain flipped upside down when seeing the absolute value symbols. lim |x-3| x-> 3- x2-7x+12Thank you!

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Limits Of A Function Calculus Mathematics

08/25/19

Question regarding limits of sequences and functions.

Given that lim n→∞(1+1/n)^n = e :(a) Show that lim n→∞(1-1/n)^n = lim k→∞(k/k+1)^(k+1)(b) Hence, show that lim n→∞(1-1/n)^n = 1/e(c) Therefore, using the Squeeze Theorem, find lim n→∞(n!/n^n).

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Limits Of A Function Math Calculus

08/18/19

lim (n to inf) [ ln (1+3n+4n^2) - ln(5+6n+2n^2) ]

lim (n to inf) [ ln (1+3n+4n^2) - ln(5+6n+2n^2) ]My Friend and I have trouble on this questionwhat I do is this:lim (n to inf) [(1+3n+4n^2)/(5+6n+2n^2)] and then L'hopital's. the answer I got is... more

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Limits Of A Function Algebra 2 Absolute Value

07/31/19

How do absolute sign works with functions?

If ƒ(x)=|x| then how is:ƒ(x)={x for x>0 -x for x<0 0 for x=0}Since absolute sign don't take negatives into consideration should'nt x<0 be also equal to x?

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Limits Of A Function Math Calculus

06/24/19

Find the limit (if it exists). lim x→0− x+8/cot x

I am confused as to how to find the limit for this questions as x approaches ) from the left. The cot portion is throwing me off a bit. Any help would be great! Cheers :)math

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Limits Of A Function Math Calculus Finding Limits

06/24/19

Consider the following limit. lim x→3 (x2 + 9) Find the limit L. Find δ > 0 such that |f(x) − L| < 0.01 whenever 0 < |x − c| < δ. (Round your answer to five decimal places.)

I understand how to find the limit, but I do not understand how to find the second portion. Any help would be great! Cheers :)

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Limits Of A Function Math Calculus

06/19/19

Limit of x*sin(1/x) as X approaches 0

After those steps, the result is wrong, and I can't understand what's wrong.lim(x→0) x·sin(1/x) =a = 1/xlim(x→0) x·sin(a)·a/a=lim(x→0) (x·sin(a)·a)/a=since lim(x→0) sin(a)/a = 1, than:lim(x→0)... more

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Limits Of A Function Trigonometry

06/15/19

Limits and derivatives

Limit n-> infinity ( sin^n 1 + cos ^n 1 ) ^n

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Limits Of A Function Algebra 2

05/30/19

Lim x tends to 0 then evaluate (log1/x)^log(1-x)

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Limits Of A Function Calculus

05/21/19

How to know when to do certain steps to find the limit of an indeterminate form

For the functionf(x) = sqrt(x2 - 2) - sqrt(x2 - x)when taking the limit of x as it approaches infinity, if I use a conjugate first, and then divide the numerator and the denominator by the highest... more

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