188 Answered Questions for the topic limits of a function

Limits Of A Function Calculus Exponents

08/09/20

Find the limit of a function using the squeeze theorem.
Find lim x→+∞ (x^2)/(2^[x]) using the squeeze theorem.Note: [x] denotes the flooring of x.
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Limits Of A Function Math Calculus

06/19/20

If f′ is continuous, f(2)=0, and f′(2)=12, evaluate the limit:
If f′ is continuous, f(2)=0, and f′(2)=12, evaluate the limit:lim f(2+3x)+f(2+5x) / xx--> 0
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Limits Of A Function Math Calculus Trigonometry

06/17/20

Calculus - Limits Involving Trigonometry
How would I go about solving this with tanx being an exponential?lim (sin x)tan xx-->0+
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Limits Of A Function Calculus Derivative

06/13/20

L'Hopitals Rule Question
Find the limit using L'Hopital's rule when needed:lim (csc x - cot x)x--->0
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Limits Of A Function Calculus Precalculus

06/04/20

Find the limit of the following equation
As x approaches 2(x3-8)/(x-2)
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Limits Of A Function Precalculus

05/30/20

Is it true that if lim𝑥→6f(𝑥)=0 and lim𝑥→6g(𝑥)=0 then lim𝑥→6f(x)/g(x) does not exist?
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Limits Of A Function Precalculus

05/30/20

Is it true that for all functions h, if lim𝑥→𝑎+ℎ(𝑥) exists and lim𝑥→𝑎−ℎ(𝑥) exists, then h is continuous at a?
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Limits Of A Function Precalculus

05/30/20

Is it impossible for a function to be discontinuous at every number in its domain?

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Limits Of A Function Precalculus

05/30/20

Finding the value for the constant a so that the function is continuous
Given the function f(x)= {a-x if x≤𝜋} {asin(x) if x>𝜋}a) find the value for the constant a so that the function is continuous b) show that the function is... more
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Limits Of A Function Math Calculus Precalculus

05/21/20

Find the limit of the following described function (it's hard to format it correctly) as x-->2
The function is a fraction. Within the numerator there is another fraction: (x+2)/x. And this fraction has 2 subtracted it from it. The denominator of the function is simply x-2. Is the limit defined? more
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Limits Of A Function Math Calculus

05/20/20

What is the limit for :
the following function as x --> 2((𝑥+2)/𝑥 −2)/ (𝑥−2)
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Limits Of A Function Math Calculus

05/20/20

Find the limit of the function below as x --> 2
(3𝑥−2)^2−(𝑥+2)^2/ (𝑥−2)
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Limits Of A Function Math Calculus Precalculus

05/20/20

Limits (Calculus)
What is the limit of |x+5|/(x+5) as x approaches -5 from the left?
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Limits Of A Function Math Calculus

05/20/20

Limits (calculus)
What is the limit of n * cos 1/n as n approaches infinity?
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Limits Of A Function Calculus Derivative Derivation

05/01/20

Limits and Derivation Questions
Find the slope of tangent(s) line to the graph of f(x) = x^3-x+6 from the point P(-2,8) find the value of K so limitation exists. lim as x->3 5x^2+8x-4/x^2-3x+K
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04/30/20

A Set of Very Difficult Limitation and Derivation Questions
Find the value of B if the graph y = b/x^2 has its tangent line defined by bx - 4y +21 = 0 Find the nth derivative f^(n) for f(x) = x/x+1 Find the value(s) of K for which lim x->3... more
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Limits Of A Function Calculus Real Analysis Knot Theory

04/08/20

Evaluating the following limit
Evaluate the following limit: limn→∞{(4n-C(2n+1,n))/(4n)} Where C(a,b) = a!/(a-b)!b!Hint: Use asymptotics to bound the limit and then make use of the squeeze theorem.Spoiler: The answer is 1.
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Limits Of A Function Maths Mathematics Maths Problem

04/06/20

limit quesiton need help
I need help on a relatively simple limit equation. If possible, evaluate:lim (4(8−𝑥))/(𝑥^2 2−64)𝑥→8
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Limits Of A Function

03/23/20

Mathematics problem
I have this limit problem. I have tried to attempt it. Here is my attempt. But my answer is not matching with the book, please help.Note: Greatest integer function is same as floor function.
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Limits Of A Function Math Calculus Precalculus

03/19/20

Hi, I need help with this problem, please!
Find the derivative of f(x)=x^2+x using the limit process. I know the answer would be 2x+1, but I don't know how to prove it using the limit process. Thank you!
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Limits Of A Function Calculus

01/15/20

What is the limit as x tends to -1 of (X^1/3 + 1)/(1 - x^2/5)
I've just started studying limits using an old textbook. This problem is in the section that introduces limits and before any differentiation rules like L'Hopital's rule so I would like to know how... more
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Limits Of A Function

01/10/20

Prove that lim+oo(lnVn)/ln2n =1/2
And we have Un<n1/2<VnAnd lim+ooVn=+oo
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Limits Of A Function Trigonometry Functions Mathematics

11/20/19

I need a step-by-step solution for this limit
I need the limit of f(x)=(6sin(x )^2-sqrt(2)sin(x )-2)/(tan(x )-1) as x->π/4Please don’t use derivates, I haven’t studied them yet. The result should be 5/2, but I don’t know how to get it.... more
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Limits Of A Function Calculus

11/14/19

Find the values a and b
find the values of a and blim x→2 x2+ax+b/x3-2x2+x-2 = 6
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Limits Of A Function Math Calculus Derivative

10/13/19

Calculus 1 Question
Let f(x)={(7x-9x^2 for x<0), (6x^2+7x for x>=0)}According to the definition of the derivative, to compute f'(0), we need to compute the left-hand limitlim x->0- ____________ which is... more
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