Question

How do you find the limit of `[-1/5(1-(1/x)^(4/5)]` as x approaches infinity?

Answer 1

Remember that `lim_(x->oo)1/x=0`. Answer: `-1/5`

Explanation:

Original question: Find `lim_(x->oo)[-1/5(1-(1/x)^(4/5))]`

Note that `lim_(x->oo)1/x=0`

By substituting `x=oo` and using the above statement, we see that the original expression becomes:
`lim_(x->oo)[-1/5(1-0^(4/5))]`
`=lim_(x->oo)[-1/5(1)]`
`=-1/5`