hi everyone! Here's a proof question that I'm having trouble with.
I know what the Cauchy-Schwarz inequality is, but I don't know how to apply it.
My teacher mentioned that we should try "constructing" or changing the numbers so that the C-S inequality can be applied.
a and b are both real numbers, a+b = 1
using the Cauchy-Schwarz inequality, prove that 1/a + 1/b >=4
Any help is greatly appreciated!
I know what the Cauchy-Schwarz inequality is, but I don't know how to apply it.
My teacher mentioned that we should try "constructing" or changing the numbers so that the C-S inequality can be applied.
a and b are both real numbers, a+b = 1
using the Cauchy-Schwarz inequality, prove that 1/a + 1/b >=4
Any help is greatly appreciated!