Prove that $\displaystyle 2^{\frac{1}{n}} <= 1 + \frac{1}{n}$.
for n in the set of all positive numbers.
Base case is obvious.
So, tried using n = k, and adding k+1.
But then I get a load of terms and it gets too messy to handle.
Any advice?
Prove that $\displaystyle 2^{\frac{1}{n}} <= 1 + \frac{1}{n}$.
for n in the set of all positive numbers.
Base case is obvious.
So, tried using n = k, and adding k+1.
But then I get a load of terms and it gets too messy to handle.
Any advice?