Calculus Limits Problem

**ppatbmw** · December 16th 2010, 01:29 PM

Find the limits:

a) lim (2x)/(sqrt((x^2)+1))
x-->infinity

b) lim (2x)/(sqrt((x^2)+1))
x-->-infinity

**dwsmith** · December 16th 2010, 01:32 PM

Limits to infinity take the highest power of x of the numerator and denominator.

$\displaystyle \lim_{x\to\infty}\frac{2x}{\sqrt{x^2}}=\lim_{x\to\ infty}\frac{2x}{x}=2$

Remember $\displaystyle \sqrt{x^2}=\pm x$ . Now, try b.

Thread: Calculus Limits Problem

LinkBack

Thread Tools

Display

Calculus Limits Problem

Similar Math Help Forum Discussions

Calculus 2 limits as x-->0+

Calculus, limits

Calculus, limits

calculus - limits

Some Calculus limits

Search Tags