Determine if the following sequences converge or diverge. You must justify your answers. If they converge, find the limit. You may use any test/theorems/results from the lectures, but you must precisely state which ones you are using. an = 3n · In(sin(;)+1). 1. 2n2 +(-1)"-n 2. n2 (1+ 2)" + - 3 2n n 3. Cn = n 3n •

Q: Below is the graph of a function f(x). Use the graph of the function to calculate each of the…

A: Given graph is,

Q: Evaluate the limit. lim = (9e -li+3e -') t-In 9

A:

Q: How do you solve question 7 and 8?

A:

Q: ASK YOUR TEACHER Complete the table and predict the limit, if it exists. (Round your answers to…

A: Given function is:f(x)={7x−110−2x−x2​ for x<1 for x≥1​ Step 1:To complete the table, we need to…

Q: (cos n) Find the limit of the sequence an 47

A:

Q: If p is the current frequency of the resistance gene in a model for the spread of drug resistance,…

A: We need to find the value of  limp ->19p2-2pp2-2

Q: 5. Determine the intervals on which the following function are increasing or decreasing. r² - 1 (a)…

A:

Q: Find the limit L for the given function f, the point c, and the positive number ɛ. Then find a…

A:

Q: Use continuity to evaluate the limit. lim e62-63 X-1

A: In this question, we will find the limit.

Q: Consider the function (x)=x²+2x . Using the limit definition of the derivative, show that for any…

A:

Q: 6. Find the limit of each, if possible. In x a. lim x→14x – x² - 3 cos x + 1 b. lim x→n (x-n)2 x3 c.…

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: N Use linearity and the formula Σ 33 = j=1 N 25 lim Σ (-2) N→∞0 N4 N i-1 N4 N3 + 4 2 + N² 4 to…

A:

Q: Find the limit lim(1+ 4x)* 3/x x→0

A: We have to find