188 Answered Questions for the topic limits of a function

Limits Of A Function Calculus

03/04/21

Find all real numbers k such that the limit exists
Find all real numbers k such that limit lim->3 1/x-1/k/3x-9 exists
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Limits Of A Function Math Calculus Physics

02/23/21

One side of a right triangle is known to be 20 cm long and the opposite angle is measured as 30 ◦ , with a possible error of ± 1 . 2%, what is the error and percentage error?
Use differentials to estimate the error in computing the length of the hypotenuse and what is the percentage error?
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Limits Of A Function Math Calculus Physics

02/23/21

The radius of a sphere is increasing at a rate of 5 mm/s, how fast is the surface area increasing when the diameter is 60 mm?
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Limits Of A Function Calculus

01/23/21

calculus evaluate the limit
Evaluate the following limit if it exists or show that it does not exist.lim h→0 ((√h + 9) − 3) /hh+9 is under the rootWe are not allowed to use L’hospital’s rule.
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Limits Of A Function Calculus

01/23/21

calculus limits
Is there a number a such that lim x→−2 (3x2 + ax + a + 3) / (x2 + x − 2) exists? If so, find the value of a and the value of the limit.We are not allowed to use L’hospital’s rule.
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Limits Of A Function Calculus

01/23/21

Find the Limit of a function
Find the limit. (If the limit is infinite, enter '∞' or '-∞', as appropriate. If the limit does not otherwise exist, enter DNE.)lim x → ∞ (e−x + 4 cos(3x))
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Limits Of A Function Calculus

01/23/21

Calculus Limits
Is there a number a such that lim x→ −2 (3x2 + ax + a + 3) / (x2 + x − 2) exists? If so, find the value of a and the value of the limit.
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Limits Of A Function Math Calculus

01/22/21

Help Me Find the Limit
limx→2 -2x3 -4x2 +2x +4How do you find limits when given equations like this one?
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Limits Of A Function Calculus Limits L'hopital's Rule

11/12/20

Using L'Hopital's Rule, find the a) limit as x approaches 1 of (ln(2x-1))/(x-1), b) limit as x approaches 0 from the right of (1/(e^x-1) - 1/x).
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Limits Of A Function Calculus

11/04/20

The function S(t)=t^2e−0.1t gives the level of medication (in μg) in a patient's bloodstream t minutes after a dose is given. CONTINUED IN DESCRIPTION
Use the first and second derivative tests to to determine the local extrema and inflection points for this function...including where the function is increasing, decreasing, concave up, and... more
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Limits Of A Function Math Calculus Mathematics

10/25/20

How can i prove this statement?
Statement: Let 𝑓:[𝑎, 𝑏] → [𝑐, 𝑑] for 𝑎, 𝑏, 𝑐, 𝑑 ∈ 𝑅 be continuous on (𝑎, 𝑏). Then for any point 𝑞 ∈ (𝑐, 𝑑) there exists a point 𝑝 ∈ (a, b) such that 𝑓(𝑝) = 𝑞.I know that I need to use intermediate... more
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Limits Of A Function Calculus

10/14/20

Use a differentiation forumla to evaluate limh→0 e1+h√1 + h − e / h
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Limits Of A Function Calculus

10/14/20

Use a differentiation forumla to evaluate lim -0 tan(x+h)−tanx/h
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Limits Of A Function Math Calculus Derivative

09/24/20

How do you use the Intermediate value theorem (IVT) to prove there is at least one solution to 2^x = 1/x
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Limits Of A Function Math Calculus Limits

09/22/20

Is this a use of the Squeeze Theorem?

Two broadcasting signals signals and signal b have amplitudes that can be modeled by mathematical equations. we will attempt to show that signal a and signal b have the same amplitude at some point... more
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Limits Of A Function Math Calculus

09/15/20

What must "a" and "b" be for the function to be continuous on R?
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Limits Of A Function Calculus

09/14/20

Find the limit should it exist.
f(x) = 6 - x, if x < 4 4, if x = 4 x/4, if x > 4a) limit of f(x) as x approaches 2 from the positive sideb) limit of f(x) as x approaches 2c) limit of f(x) as x approaches... more
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Limits Of A Function Calculus

09/14/20

Determine if the limit statement is true or false.
The limit of f(x) = 6, as x approaches 15. The limit of g(x) = 15, as x approaches 15. Therefore the limit as x approaches 5 is f(x)/g(x)
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Limits Of A Function Calculus

09/13/20

Calculus I limits// Limits and instantaneous rate of change.
Please I need help!! Limits and instantaneous rate of change.The point P(16,6) lies on the curve y=√x+2.If Q is the point (x,√x+2), find the slope of the secant line PQ for the following values... more
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Limits Of A Function Calculus Precalculus Trigonometry

09/05/20

Limit x approaches to pi
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Limits Of A Function Calculus

09/04/20

Find the limit (if it exists).

0^+ is approaching 0 from the rightlim Δx -> 0^+ (7)/x+Δx - 7/x divided all over by Δx
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Limits Of A Function Calculus

08/25/20

How can I show if the sequence is limited
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Limits Of A Function Calculus

08/25/20

Can I Improve my answer?
lim x -> inf [ (1-cosxcos2xcos3x) / (1-cosx) ](x approaches to +infinity)My answer: = (1 - cos(pi).cos(2pi).cos(3pi)) / (1 - cos(pi)) = (1 - [(-1).1.(-1)] ) / (1 - (-1)) = (1 - 1) / (2) = 0/2 =... more
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Limits Of A Function Calculus

08/25/20

I need to evaluate the limit without L'Hostpital
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Limits Of A Function Math Calculus Limits

08/16/20

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
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