latihan limit tak hingga trigonometri

$$\lim_{x\rightarrow\infty}4x\ \sin\ \left(\frac{3}{5x}\right)=....$$  

$$\lim_{x\rightarrow\theta}\ \frac{\cot\ \left(\frac{1}{2x}\right)}{\csc\ \left(\frac{3}{x}\right)}=....$$  

$$\lim_{\theta\rightarrow\infty}\ \frac{\sin\left(\frac{2}{\theta}\right)}{\left(1-\cos\ \frac{4}{\theta}\right)\ \theta}=....$$  

$$\lim_{x\rightarrow\infty}x^2\left(1-\cos\ \frac{2}{x}\right)=....$$  

$$\lim_{x\rightarrow\infty}\ \frac{2x^2\tan\left(\frac{1}{x}\right)-x\sin\left(\frac{1}{x}\right)+\frac{1}{x}}{x\cos\left(\frac{2}{x}\right)}=\ ....$$  

Nilai $$\lim_{x\rightarrow\infty}\left(x^2-x^2\cos\left(\frac{2}{x}\right)\right)=....$$  

Nilai $$\lim_{x\rightarrow\infty}\left(1-\sin^2\left(\frac{2}{x}\right)\right)=....$$  

Nilai $$\lim_{x\rightarrow\infty\ \ }2x\left(\frac{1-\cos\left(\frac{6}{x}\right)}{\sin\left(\frac{9}{x}\right)}\right)=....$$  

Nilai $$\lim_{x\rightarrow\infty\ \ }2x\left(\frac{\cos\left(\frac{3}{x}\right)-\cos\left(\frac{1}{x}\right)}{\sin\left(\frac{4}{x}\right)}\right)=....$$  

$$\lim_{x\rightarrow\infty\ }\ \frac{9\ \sin^2\ \frac{6}{x}}{\sin\ \frac{4}{x}\ \tan\frac{3}{x}}=....$$