When x approaches to 0, find the limit value of LIM (1-sinx) ^ 1 / X Very urgent, to detailed steps, trouble you The answer must be right!!

When x approaches to 0, find the limit value of LIM (1-sinx) ^ 1 / X Very urgent, to detailed steps, trouble you The answer must be right!!

When x approaches 0, SiNx is equivalent to X
lim(1-sinx)^1/x
=lim (1-x)^1/x
=lim(1+(-x))^-(-1/x)
=lim((1+(-x))^(-1/x))^-1
=e^-1
=1/e