Re: prove or desprove claims

Quote:

Originally Posted by

**transgalactic**

(a) how about and for a counter-example?

Re: prove or desprove claims

(a)

I like your idea. How about ?

(d)

is the following function continuous?

if so you can use the intermediate value theorum, as its trivial to show that there are values of g(c) on either side of 1.

Re: prove or desprove claims

yes thanks :)

1 down 3 to go

Re: prove or desprove claims

regarding b) i was told to turn into

so i need to prove that f(x)>0 for x>0

f(0)=0

now i need to show that f'>0 so f will be monotonicly increasing

how to conclude that f' is positive for x>0