Question

lim(x->0) (sin8x)/x^2

Answer 1

Could simplyify it?

Answer 2

lim(x->0) (sin8x)/x^2
= lim(x->0) (sin8x)/x * 1/x
= lim(x->0) (sin8x)/x * lim(x->0) 1/x
= lim(x->0) 8(sin8x)/8x * lim(x->0) 1/x
= 8 lim(x->0) (sin8x)/8x * lim(x->0) 1/x
= 8 * 1 * 1/0
= 8/0
= infinity

Answer 3

Thank you very much I see why this is correct now!

Answer 4

you're welcome