What is the limit as x approaches 0 of [(tanx)^2]/x?

Answer 1

what did you not understand about my previous response?

Answer 2

oops, Isee, it was tan squared.
hang on.

Answer 3

(tanx)^2 cannot be simplified to sinx/cosx because it's squared

Answer 4

lim tan^2/x= lim sinx/x * lim sin x * lim1/cosx * lim 1/cos x

There is a theorem that says lim xzy= lim x lim y lim z

so lim tan^2x/x= 1*0*1/1*1/1=0

Answer 5

Thank you!