Hello again.

I need to eliminate some uncertainties. I know decent amount of trigonometric/algebraic but the reason I cant see what and how to use is probably that I haven't seen example usages of these enough. Here are some limit's I' would like to lean to calculate or to eliminate indeterminate form to be more exact.

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$\displaystyle 1)\lim\limits_{x\rightarrow0} \dfrac{\tan^22x\cdot\ln(1-3x)}{\cos3x\cdot\arcsin^3x}$

I tried cos(3x)= cos^3(x)- 3sin^2(x)cos(x) and tan(2x)= 2tan(x)/(1- tan^2(x)). But they didnt help. Need some other ideas.

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$\displaystyle 2)\lim\limits_{x\rightarrow0} \left(\dfrac{x-3}{x+2}\right)^{3x-5}$

No idea how to solve this to be honest

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$\displaystyle 3)\lim\limits_{x\rightarrow0} \dfrac{1-\cos3x}{x\tan2x}$

I tried cos(3x)= cos^3(x)- 3sin^2(x)cos(x) and tan(2x)= 2tan(x)/(1- tan^2(x)). But they didnt help. Need some other ideas.