lim x→0 of [tan(3x^2) + sin^2(5x)] / (x^2)
3 answers
Hey, I did the other one, try series approach on this one too.
by the way tangent of small angle approaches sine of that small angle :) theta + theta^2/2 .......
recall that lim x->0 of sinx/x and tanx/x = 1
You have
tan(3x^2)/x^2 + sin^2(5x)/x^2
= 3*tan(3x^2)/(3x^2) + 25(sin5x/5x)^2
--> 3+25
= 28
You have
tan(3x^2)/x^2 + sin^2(5x)/x^2
= 3*tan(3x^2)/(3x^2) + 25(sin5x/5x)^2
--> 3+25
= 28