Question

Evaluate the limit as x approaches -4.
((1/4)+(1/x))/(4+x)

Answer 1

\[1/4+1/x=(x+4)/4x\]

Answer 2

\[\lim_{x\to-4}{\frac14+\frac1x\over4+x}\]simplify the numerator

Answer 3

(x+4/4x)/(4+x)?

Answer 4

then take out -1?

Answer 5

meaning x+4 goes out

Answer 6

what you mean x+4 goes out?

Answer 7

because you are dividing by 4+x which is the same as x+4 on top
\[(x+4)/4x/(4+x)=(x+4)/4x*1/(x+4)=1/4x\]

Answer 8

so it becomes lim x-> -4 = 1/4x then substitute?

Answer 9

ofcourse

Answer 10

-1/16?

Answer 11

great

Answer 12

thanks.

Answer 13

its ok

Answer 14

what you mean?

Answer 15

never mind theres no problem its correct

Answer 16

are you sure...?

Answer 17

for
sure