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imperfects: digital_music:

Posted: 7 March 2016, 06:37

- The men, he said, looked like “spit out by a voodoo priest with an Indiana Jones hat on.”—from a September, 2011 article by Peter Howell in the Daily TelegraphQ:

Convert string into number?

In C++, what should I do if I have a string wich contains a number and I want to convert it to int? I was searching on the web but I still can't figure it out.

A:

I would use regular expressions to achieve this.

std::string input = "1234";

const std::regex re("[0-9]+");

if(std::regex_match(input, re))

{

std::cout Q:

Proving that $(1+\frac{1}{n})^{1/2}=\sqrt{1+\frac{1}{n}}$

This is a question from an entrance exam in a university.

I have tried using induction but there are no hints given so I'll do it a different way.

Prove that $(1+\frac{1}{n})^{1/2}=\sqrt{1+\frac{1}{n}}$

I started writing out a proof but it didn't seem to lead to anything and then I tried induction with no success.

Could you please show a simple proof? I'd like to see a proof using induction but I am afraid it'd take a long time.

Thank you in advance

A:

$(1+\frac{1}{n})^{\frac{1}{2}}=(1+\frac{1}{n})^{\frac{1}{2}+1}=\left(1+\frac{1}{n}\right)^{\frac{1}{2}}\cdot\left(1+\frac{1}{n}\right)^{\frac{1}{2}}=\left(\sq 0b46394aab

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