Lecture 9 Chapter 11

Question 1

lim (a + b) = ?

Answer 1

lim(a + b) = lim(a) + lim(b)

Question 2

lim(a*b) = ?

Answer 2

lim(a*b) = lim(a) * lim(b)

Question 3

lim(c*a) = ? c is a constant

Answer 3

lim(c*a) = c * lim(a)

Question 4

lim(1/n^p) = 0, what is p

Answer 4

p > 0

Question 5

lim(1/n^p) = infinity, what is p

Answer 5

p < 0

Question 6

lim(1/n^p) = 1, what is p

Answer 6

p = 0

Question 7

lim(r^n), for what values of this does r converge and diverge

Answer 7

converges for |r| < 1 & r = 1

diverges for |r| > 1 & r = -1