Only one of these calculations is correct to evaluate the limit lim xº Select one: lim xe → take In Inx lim e-* Inx= lim 0: %3D Take exponential lim xe = e0= 1 O im xe → take In lim e Inx= lim (e*)[÷ ]+(e* Inx ) = ∞ Take exponential → lim xe ^= e* = ∞ O lim xe → take In Inx. = lim (1/ x) lim eX Inx= lim = lim x-x (e*) - lim xe "= e°=1 x+0 (e*) -X Take exponential O lim xe* =∞° = 1

Q: Given_lim_f(x) = 1 and lim_g(x) = 3, evaluate: x →6 9+x lim ( − 3f(x) + 4g(x)) = x →6

A:

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A: Given value of limit is,

Q: Let h(x)= (x^2-9)/(x^2-3x) a/ what interval is h(x) continuous? b/ evaluate the following.…

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Q: Use the limit definition of the derivative of the given function at the given value of x (if it…

A: Given functions are

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A: L'Hospital's Rule says that limx→af(x)g(x) = limx→af'(x)g'(x)

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Q: lim レ+x- %3D X. x→0 e-X+1 x -x_ a Find the limit.

A:

Q: lim tan-¹(e* + ln x) x→0+

A:

Q: 1 4. Find limx→0+ ( ) ex-1

A: Given :          limx→0+1ex-1-1x

Q: Concept Quiz: Finding Derivative of Function Using Definition of Derivative In this assignment, you…

A: The given function is  f(x) = 3x2 - 4x + 1 Now to find the derivative by using definition.

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.