Hank was trying to compute a definite integral using the limit definition, but he got distracted by the beautiful weather and went outside, leaving his work on his desk. You find the following limit written on his paper: n (²-). i=1 (a) What integral was Hank trying to compute? In other words, on which interval [a, b] and for which function f(x) does the above limit equal lim n→∞ 2+ 3i n [ ? f(x) dx b) Can you find a different interval and function that works? (c) If you are told the interval is [-1,5], what must the function f be?

Q: Sx² – 4 if r 3 (a) lim f(r) - (b) lim f(x) = (c) lim f(r) = 3-

A: see 2nd step

Q: 10 xくa b. lim 1 where a is some fixed real number * = a' x > a 2x 10

A:

Q: x – 5, for x 3.

A:

Q: if a -6 Calculate the following limits. If the limit doesn't exist but it makes sense to call it o∞…

A: given that                                 we have to find value of limit as well as value of…

Q: Estimate the limit of the following functions from the left and from the right and then state…

A: We have to find the limit from the left and right.

Q: 1. Let f(x)=x-x-6x². Sketch a graph of the function. Label all zeros and asymptotes on the graph, if…

A:

Q: Based on your work in part a, on what interval(s) is f(x) continuous?

A:

Q: 1. Use the limit formula, and showing all work, find f'(x) for f(x) = -3x³ + 2x -1.

A: To find the differentiation of given function.

Q: lim Sint tー 七

A: Given : limt→x2 sintt

Q: The graph below is the function f(x) -4 -3 -2 -1 8-1 lim 24-2 4 3 2 1 Determine the following…

A: Solution: As we can see in the graph

Q: The function f (x) is defined by the rule x2 +1 if x 2 - a) Calculate the left derivative and the…

A:

Q: Determine which of the limits below are in a form where L'Hôpital's Rule applies. For those limits,…

A: The solution is shown below- As per bartleby guidelines only first part is allowed to solve. Kindly…