Show that (1 +x)^1/3 0 can someone please direct me in the right direction on what kind of method i need to solve this or what therom?

Question

Show that (1 +x)^1/3 < 1 + (x/3) 
for x>0

can someone please direct me in the right direction on what kind of method i need to solve this or what therom?

anonymous · Answer

@ganeshie8 can u please help me?

anonymous · Answer

i just want to know what kind of question it is so i can study for it

ganeshie8 · Answer

Sorry not getting any ideas but we should be able to prove this by cooking up an usefuil definite integral

anonymous · Answer

in the answers it doing a derivative function

anonymous · Answer

attachment

ganeshie8 · Answer

Here is the property that might be helpful :

If $\large f(x) \lt  g(x) $,  then 

$\large   \int\limits_0^a  f(x) dx \lt   \int\limits_0^ag(x) dx $

ganeshie8 · Answer

Oh you have solution, nice let me see :)

ganeshie8 · Answer

@Kainui did u get the solution attached

kainui · Answer

I have to leave but I'll definitely check it out when I return, thanks @ganeshie8 =D

midhun.madhu1987 · Answer

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