Question

How do I evaluate

lim (tan2x)^x
X->0+


I think you have to do l’hospitals but we have to prove at every step

Answer 1

Hmm.. if we plug zero in for x like any other limit, anything to the power of 0 is 1, so as x approaches 0 from above the limit would be 1.

L’Hospital’s rule only applies if the limit is 0/0 or ∞/∞. But we don’t have a fraction. Unless there is another stupid trig identity of tan that I’m forgetting lol.

I’m not sure how you’d prove every step with this one, but I hope this helped a little