A few hopefully easy limits

Riastrad

1. Lim (sinx - cosxsinx) / x^2
x->0

2. Lim (tanx) / (x+(pie/4))
x->(pie/4)

3. Lim ((2x^3) + 1) / ((5x^3) + (2x^2) + 1)
x->inf.

Thank you all in advance!

**Posted:** Sun Sep 18, 2005 12:44 am

liu

I will omit $x\to 0$ in limits.
$\lim \frac{\sin x - \cos x \sin x}{x^2} = \lim \frac{\sin x (1-\cos x)}{x^2} = \lim \frac{\sin x}{x} \frac{2\sin^2 \frac{x}{2...$

**Posted:** Sun Sep 18, 2005 1:25 am

Arne

$\lim_{x \rightarrow \frac{\pi}{4}} \frac{\tan{x}}{x + \frac{\pi}{4}} = \frac{\tan{\frac{\pi}{4}}}{\frac{\pi}{4} + \frac{\pi}...$

So, you just plug in $\frac{\pi}{4}$ ...