Find the limit of sin7x / tan3x as x tends to zero plz answer soon - Maths - Limits and Derivatives

Question

Find the limit of sin7x / tan3x as x tends to zero plz answer
soon

Vipin Verma · Accepted Answer

limx→0sin7xtan3xSo
limx→0sin7xsin3xcos3x=limx→0sin7x×cos3xsin3xMultiply
and divide the numerator by 7x and multiply and divide the
denominator by 3x Solimx→0sin7x×cos3xsin3x =
limx→0sin7x7x×7x×cos3xsin3x3x×3xAs
limx→0sinxx=1, so limx→0sin3x3x=1,
limx→0sin7x7x=1Hence
limx→0sin7x7x×7x×cos3xsin3x3x×3x
=limx→01×7x×cos3x1×3xAs limx→0cosx
=1, so limx→0cos3x =1Hence
limx→01×7x×cos3x1×3x =7x3x=73So
limx→0sin7xtan3x=73 (Ans)

Find the limit of sin7x / tan3x as x tends to zero. plz answer soon...