Question

lim x->0^+ (tan6x)^x

Answer 1

the question is not very clear?

Answer 2

you may take log of function and the use hopital rule

Answer 3

\[y=(\tan 6x)^x\]\[\ln y=x \ln 6x\]\[\ln y= \frac{\ln 6x}{(1/x)}\]now take the limit of RHS when x->0+

Answer 4

for checking answer is:\[1^-\]