4" converges or diverges. Use the ratio test to determine whether (4n)? n=8 (a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n 2 8, An+1 lim = lim an n-00 (b) Evaluate the limit in the previous part. Enter co as infinity and-oo as -infinity. If the limit does not exist, enter DNE. An+1 lim (c) By the ratio test, does the series converge, diverge, or is the test inconclusive? Choose

Q: Calculate the limit. (Use symbolic notation and fractions where needed.) lim (In(5x + 1) – In(2x +…

A: In this question we have to find the limit. Formula : lnm+lnn=lnmnlnmn=lnm-lnn

Q: Find the limit. 2 – 4x². - 9x + 11 lim - 8x + 6x +2 X00 11 OA. 2 ОВ. оо OC. O D. 1 F/N 8

A:

Q: x³ +1 .3 34 lim .3 x → 12x + 2 lim Vx + 2 x > 2 35. Answer lim 5x + 2 x → - 2 36.

A: we have to evaluate the following limits

Q: Find the limit. x+2)(x+61) lim (x+2) X→-6* O A. 8 OB. 4 OC. -4 OD. The limit does not exist.

A: Topic = Limits Correct option = C

Q: Let n > m > 1. Find lim,-3 . x"-3 xm –3 ·

A:

Q: Determine the limit at infinity. 4x -6x2 + 3x lim - -x - 2x+6 O A. 4 OB. OC. 0 D. 4.

A: Given limit is Dividing both numerator and denominator by x^3, we get

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.