Question

calculus. limits

Answer 1

\[a_n = \cos(\frac{ 7 }{ n })\]

Answer 2

Determine whether the sequence converges or diverges. If it converges, find the limit

Answer 3

As n heads off to infinity, 7/n gets really really small. It approaches 0.

So cos(7/n) gets closer and closer to cos(0)

Answer 4

Try it out with very large values of n. Say n = 1,000,000 and n = 1,000,000,000 and so on. Increase n and see what happens to the overall expression. A table in your calculator will make quick work of that.

Answer 5

which is 2pi?

Answer 6

no, cos(0) = 0

Answer 7

oops, cos(0) = 1

Answer 8

I was thinking of sine

Answer 9

oh... me too i think... confused...

Answer 10

i figured the expression is convergent. but i do not know how to find its limit. infinity is not an option

Answer 11

1 was the answer. thank you

Answer 12

np