Question

Evaluate the limit: `lim_(x->-oo)(2+2^(-x^2))`?

Answer 1

`2`

Explanation:

As `xrarr-oo`,

`x^2rarroo`

so, `-x^2 rarr-oo`

and, `2^(-x^2)rarr0`.

Therefore,'

`lim_(xrarr-oo)(2+2^(-x^2)) = 2+0 = 2`