Recent content by wombat4000

brilliant! - thanks http://img223.imageshack.us/img223/2827/167uqnbqe2.gif

the question doesn't mention sum or convergence?

e^2x is considerably larger than x^2 ? if x^2 divereges - so must e^2x? cant say I am 100% sure what your ginting towards.

ratio test? integral test? but how will working out if the sum convereges help with obtaining the valid x values?

ok - it will go to 2 then? \frac{log (e^{2x})}{x + 3} \leq \frac{log (x^{2} + e^{2x})}{x + 3} \leq ? \frac{log (e^{2x})}{x + 3} = \frac{2x}{x + 3} which tends to 2 as x tends to infinity is this correct - what should i use for thew upper bound?

Homework Statement \frac{log (x^{2} + e^{2x})}{x + 3} find the limit as x_> infinty Homework Equations powers beat logs The Attempt at a Solution going by the powers beat logs idea - simply, the limit as n-> infinity is 0. is this correct? can you simply say that powers beat logs always?

Homework Statement im being asked for the first 4 non zero values for the taylor expansion of exp(x) which is simple, but then it asks for the range of x values that are valid for the expansion. i have never come across ths before - any idea?

sorry - i fugured it out while i was typing it.

[SOLVED] Series convergence Homework Statement \sum^{n=0}_{\infty}\frac{2n-1}{\sqrt{n^{5}+1}} Homework Equations The Attempt at a Solution

thanks - they are spot on.

does this mean i have to integrate f(x)? if so how? i have tried substitution.

hmmm - myabe not then - do you have a good link for how to learn how to slove this sort of equation? wikipedia isn't too helpfull

thanks! http://img237.imageshack.us/img237/3676/167uqnbsi6.gif

but f(a) = f(b) so f'(c)=0?

i think so