Please help:
Show that (1+x)^6 is greater than or equal to (1+6x)
for every x is greater than or equal to 0.

How would i prove that? A chart? Graph?

Question

Please help:
Show that (1+x)^6 is greater than or equal to (1+6x)
for every x is greater than or equal to 0.

How would i prove that? A chart? Graph?

asnaseer · Answer

have you studied the binomial expansion?

asnaseer · Answer

or mathematical induction?

dumbcow · Answer

is that 1+6x  or 1+6^x  ?

asnaseer · Answer

I believe it should be $1+6x$

dumbcow · Answer

then its pretty easy since obviously x^6 > 6x   and all coefficients are positive

asnaseer · Answer

x^6 is not greater than 6x for x>0 and x<1

asnaseer · Answer

@revelationxd you need to respond to my questions above if you want me to help here

dumbcow · Answer

haha i stand corrected :)

asnaseer · Answer

np - we all make mistakes now and then - that is what makes us human! :)

dumbcow · Answer

binomial expansion http://en.wikipedia.org/wiki/Binomial_expansion#Statement_of_the_theorem

anonymous · Answer

no i did not study binomial expansion, was busy the whole day, looking at it now

anonymous · Answer

and its (1+x)^6