Newbetuts

Proving for all integer $n \ge 2$, $\sqrt n < \frac{1}{\sqrt 1} + \frac{1}{\sqrt 2}+\frac{1}{\sqrt 3}+\cdots+\frac{1}{\sqrt n}$ [duplicate]

Difficult limit evaluation: $\lim_{x\to\infty}(\sqrt{x^2+4x} - x)$

Calculating $\lim_{x\to+\infty}(\sqrt{x^2-3x}-x)$

Square root of a product of negative numbers

Subtracting expressions with radicals

Calculate the limit $\lim \limits_{n \to \infty} |\sin(\pi \sqrt{n^2+n+1})|$

Finding a root of a degree 5 polynomial

Finding summation of inverse of square roots.

Why is it that $ \frac{x^{\frac{1}{2^{15}}}-1}{0.000070271} \approx \log_{10}(x)$?

The limit $\lim\limits_{n\to\infty} (\sqrt{n^2-n}-n)$. Algebraic and intuitive thoughts.

An equation, where the solution does not exist, but on solving the equation we got a solution. why this is happening?

How do I calculate $\lim_{x\to+\infty}\sqrt{x+a}-\sqrt{x}$?

How to evaluate $\lim_{x \to \infty}\left(\sqrt{x+\sqrt{x}}-\sqrt{x-\sqrt{x}}\right)$?

Using the squeeze theorem to determine a limit $\lim_{n\to\infty} (n!)^{\frac{1}{n^2}}$

If a,b,c are sides of a triangle, prove: $ \sqrt{a+b-c} + \sqrt{b+c-a} + \sqrt{c+a-b} \le \sqrt{a} + \sqrt{b} + \sqrt{c} $

Multiplication of continued fraction

Is there a general identity for the infinite radicals; $\sqrt{n^{0}+\sqrt{n^{1}+\sqrt{n^{2}+\sqrt{n^{3}+...}}}}$

New posts in radicals

Prove by contradiction (not using a calculator) that $\sqrt6 + \sqrt2 < \sqrt{15}$?

Abel-Ruffini theorem, Galois theory and minima and maxima

Taking an integral of an integrand consisting of different power radical functions

Proving for all integer $n \ge 2$, $\sqrt n < \frac{1}{\sqrt 1} + \frac{1}{\sqrt 2}+\frac{1}{\sqrt 3}+\cdots+\frac{1}{\sqrt n}$ [duplicate]

Difficult limit evaluation: $\lim_{x\to\infty}(\sqrt{x^2+4x} - x)$

Calculating $\lim_{x\to+\infty}(\sqrt{x^2-3x}-x)$

Square root of a product of negative numbers

Subtracting expressions with radicals

Calculate the limit $\lim \limits_{n \to \infty} |\sin(\pi \sqrt{n^2+n+1})|$

Finding a root of a degree 5 polynomial

Finding summation of inverse of square roots.

Why is it that $ \frac{x^{\frac{1}{2^{15}}}-1}{0.000070271} \approx \log_{10}(x)$?

The limit $\lim\limits_{n\to\infty} (\sqrt{n^2-n}-n)$. Algebraic and intuitive thoughts.

An equation, where the solution does not exist, but on solving the equation we got a solution. why this is happening?

How do I calculate $\lim_{x\to+\infty}\sqrt{x+a}-\sqrt{x}$?

How to evaluate $\lim_{x \to \infty}\left(\sqrt{x+\sqrt{x}}-\sqrt{x-\sqrt{x}}\right)$?

Using the squeeze theorem to determine a limit $\lim_{n\to\infty} (n!)^{\frac{1}{n^2}}$

If a,b,c are sides of a triangle, prove: $ \sqrt{a+b-c} + \sqrt{b+c-a} + \sqrt{c+a-b} \le \sqrt{a} + \sqrt{b} + \sqrt{c} $

Multiplication of continued fraction

Is there a general identity for the infinite radicals; $\sqrt{n^{0}+\sqrt{n^{1}+\sqrt{n^{2}+\sqrt{n^{3}+...}}}}$