Question

evaluate the limit . pls answer quickly

Answer 1

limx→0 sinax/sinbx

we know lim x→0 sinx/x = 1

now multiply and divide by abx

we get
lim x→0 abxsinax/abxsinbx

now lim x→0 sinax/ax = 1
and lim x→0 bx/sinbx = 1


Thus lim x→0 abxsinax/abxsinbx
= a/b