Question

limit x-->0
sin(x^2)/3x^2

Answer 1

limit x-->0 sin(x^2)/3x^2
= limit x-->0 1/3 * sin(x^2)/x^2
= 1/3 * 1
= 1/3

Answer 2

alternately it can be wirtten also as

limit (x^2)-->0 1/3 * sin(x^2)/x^2=1/3 *1 =1/3 [as x-->0 x^2-->0]