Question

A certain function f is known to have the
properties
lim x to -infinity
f(x) = 7, lim
x to infinity
f(x) = 8 .
Determine if
lim
x to 0+ of (3 + 6x)/(5 + f (1/x))

exists, and if it does, compute its value.

Answer 1

i have no clue as to how the top is relevant

Answer 2

because if
\[\lim_{x\rightarrow \infty}f(x)=8\] then
\[\lim_{x \rightarrow 0^+}f(\frac{1}{x})=8\] as well

Answer 3

since as
\[x\rightarrow 0^+\]
\[\frac{1}{x} \rightarrow \infty\]

Answer 4

ohhhhhhhhhhhhhh i see i see

Answer 5

Thank youu

Answer 6

yw