How to solve limit of sin(2x)/sin(5x) as x approaches 0

How to algebraically solve the limit as x approaches 0 of the function sin(2x)/sin(5x)?

In this question we deploy the use of basic limit laws and substitution techniques that allow our trig function to be solved algebraically.

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Music by Adrian von Ziegler

[vintcek]

I went through l' hopital's rule in class, and applying the rule to this specific question makes it simpler. However, for similar evaluations but more complicated, l' hopital's rule indeed makes everything even messier. This method is extremely useful to tackle those. Thank you very much!

[SleepyDaBeast]

This is waaaay helpful compared to what my sir's given example then proceeds to give questions that's not has been discussed.

[SuspiciousFish]

Thank you, this idea helped me alot. Teacher did similar questions in class but didn't use a universal formula so I didn't know how to do this.

[LaLoK]

0:12
So the x appeared outta nowhere?? isn't it sin(2x)/1 * 1/sin(5x)???

[johanalexiscastelblancovel]

You're my hero! 🙌
*+1 like*
*+1 sub*

[RaviYadav-mixm]

Hindi me salb kare mujhe aise samajh me nahi aaya