Question

Evaluate the limit of ((1/4 + 1/x)/(4+x)) as x -> -4​

Answer 1

Hello from MrBillDoesMath!

Answer:

-1/16

Discussion:

Rewrite   ((1/4 + 1/x)/(4+x))  as

(1/4 + 1/x)  *  (1/(4+x)) =                 => put num. over common denom,

( (x+4)/4x) *  (1/(4+x)) =                 => cancel (x+4) from num. and denom.

(1/4x)

So as x ->-4, (1/4x) approaches ( 1/ ( 4 * (-4) )   ) = -1/16

Thank you,

MrB