I wish I had more done.. but I'm have trouble understanding this....(adsbygoogle = window.adsbygoogle || []).push({});

Show that the series The sum is k=0 to infinity [tex] \sum^\infty_0 1-x/(2+x)^k [/tex] converges uniformly on [0,1].

What I have done so far is take the

the lim is k-->infinity [tex]\lim_\infty 1-x/(2+x)^k = 0 [/tex]

therefore the limit exists...

does this even matter.. i mean, do I even need to state this.. because I still need to say if it converges on [0,1] which im have trouble starting on.. please help.

thank you,

sorry i havnt quite mastered latex

adam

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Convergence of a series.

**Physics Forums | Science Articles, Homework Help, Discussion**