lim ( (3x+1) / x) - (1/ sin x ) =

Question

x->0^(+)

Answer 1

(3x+1) / x) - (1/ sin x ) = ((3x+1)x-x)/(x sinx) = (3x^2)/(x sinx)
= 3x/x * x/sinx
lim(uv) = (lim u)(lim v) = 3 * 1 = 3