Thread: Rational trig limit

I need some help with this trig limit. lim as x -> 0 of ( sin(x) / 5 sqrt(x) ) I've splitting things up like so: ( sin(x) / x) * ( x / 5 sqrt(x) ) And I figure that gives me: 1 * ( x / 5 sqrt(x) ) But I'm not sure what to do from there, or let alone whether I am doing this correctly or not. The answer in the book says it should be 0. Any help getting this please?


Edit: I spaced things out and why does my whole post end up in 2 lines?

Now break x as sqrt(x)*sqrt(x) in the numerator and cancel sqrt(x)

Originally Posted by roshanhero

Now break x as sqrt(x)*sqrt(x) in the numerator and cancel sqrt(x)

Thank-you!