I'm working through some trig questions and don't understand this one:

My first thought was since , the answer would be 0, but alas, it turned out to be

Could anyone shed some light on this?

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- July 9th 2012, 11:17 AMLepzedLimit of trigonometric equation
I'm working through some trig questions and don't understand this one:

My first thought was since , the answer would be 0, but alas, it turned out to be

Could anyone shed some light on this? - July 9th 2012, 11:49 AMPlatoRe: Limit of trigonometric equation
- July 9th 2012, 12:13 PMLepzedRe: Limit of trigonometric equation
Ah, so I should've rewritten the cos 2x expression, before applying the limit.

Thanks! Really helpful! - July 10th 2012, 07:23 AMLepzedRe: Limit of trigonometric equation
I worked through another exercise and I'm wondering if my approach is correct. It might be a bit verbose, but I'd like to be clear on my train of thought:

Am I doing anything illegal here? I can't really identify with the meaning of this, so it's a mechanical process for me, I can't visualize this at all. - July 10th 2012, 07:46 AMPlatoRe: Limit of trigonometric equation