Question

Evaluate lim(x->0) sin(9x)/6x

Answer 1

from : lim u->0 sin(u)/u = 1
lim(x->0) sin(9x)/(6x)
= lim(x->0) 9 sin(9x)/9(6x)
= lim(x->0) 9/6 sin(9x)/(9x)
= (9/6) lim(9x->0) sin(9x)/(9x)
= (9/6) lim(u->0) sin(u)/(u)
= 9/6 = 3/2

Answer 2

So the problem ask to evaluate the equation that is given and base on the equation you give and the formula in calculating it, i came up with an answer of 3/2. I hope you are satisfied with my answer and feel free to ask for more if you have questions and clarifications