Solve the following (limit; L'Hospital's Rule)?
#\lim_(x\rightarrow0^+)(\tan(2x))^x#
What I've tried
#y=(\tan(2x))^x#
#\rArr\ln(y)=\lim_(x\rightarrow0^+)\ln((\tan(2x))^x)...#
got stuck afterwards.
#\lim_(x\rightarrow0^+)(\tan(2x))^x#
What I've tried
got stuck afterwards.
2 Answers
Explanation:
is an alternate series and for
then
now using the binomial expansion
Of course
Finally
1
Explanation:
Let y = (tan 2x)^x, then