Question

Prove that sqrt(1+x)>1+(x/2) using MVT

Answer 1

should i find f(x) first?

Answer 2

This inequality isn't true, are you sure it's not sqrt(1+x)<1+(x/2)? For example if you try x=1 sqrt(1+1)>1+1/2 => sqrt(2)>1.5 is false.

Answer 3

yes i wrote it wrong, the sign is the wrong way