The limit as x approaches 0 of (sin^2(x) / sin(x^2))

[User Name]

Im getting ready for my final and cannot remember how to solve the following problem,

The limit as x approaches 0 of (sin^2(x) / sin(x^2))

 

[Deleted member 4993]

Im getting ready for my final and cannot remember how to solve the following problem,

The limit as x approaches 0 of (sin^2(x) / sin(x^2))

(sin^2(x) / sin(x^2)) = [sin(x)/x]² * [x²/sin(x²)]

What are your thoughts?

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[stapel]

Im getting ready for my final and cannot remember how to solve the following problem,

The limit as x approaches 0 of (sin^2(x) / sin(x^2))

The hint in the first reply is very helpful, once you remember that trig limit that you probably forgot after you finished the chapter on "derivatives from the limit definition". Review here to see what you need to plug in to the hint.

If, after studying the lesson at the link, you then get stuck working with the hint, please reply showing all of your thoughts and work. Thank you!