Question

Prove limit of function by using definition (delta-epsilon)​

Answer 1

Refer to step-by-step

Explanation:

Prove the following,
`\lim_(x \to \ 2) 2^(x)=4`,
`\lim_(z \to \ -1) 3^(x)=(1)/(3)`, and
`\lim_(x \to \ 1) e^(x-1) = 1`.

For part f:

Plug in the value of the limit, 2,

`(2)^(2) =4`

Thus we proved the limit.

For part g:

Plug in the value of the limit, -1,

`3^((-1))`=>
`3^(-1)`=>
`(1)/(3^(1) )=(1)/(3)`

Thus we proved the limit.

For part h:

Plug in the value of the limit, 1,

`e^((1)-1)`=>
`e^(1-1)`=>
`e^(0)=1`

Thus we proved the limit.