Question

Suppose {a_n} is a sequence that converges to a number L > 0.What is the limit of {a_n + 1}?

Answer 1

lim(a_n + b_n) = lim a_n + lim b_n if both limits exist

Answer 2

The writing was poor I meant a_(n+1)

Answer 3

It's still the same limit

Answer 4

So it is lim a_n +lim a_1?

Answer 5

No

Answer 6

lima_n+lim1? I am confused.

Answer 7

lim a_1 doesn't really make any sense since it's not the limit of a sequence. You can't distribute limit a_n+1

Answer 8

Recall the delta-epsilon definition of limits

Answer 9

I think I need to rewrite does this help?