Show that limx- 1-x-1-x-2-1

lim _x→ 1(√(x+1) √(x)) = √(1+1) √(1) =√(2) 1 ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Right Hand Limit

Show that l...

Question

Show that ${lim}_{x \to 1} (\sqrt{x + 1} - \sqrt{x}) = \sqrt{2} - 1$

Open in App

Solution

Suggest Corrections

Similar questions

Show that ${lim}_{x \to \infty} (\sqrt{x^{2} + x + 1 - x}) \neq {lim}_{x \to \infty} (\sqrt{x^{2} + 1} - x)$

\lim_{x \to \infty} (\sqrt{x^{2} + x + 1} - x) \neq \lim_{x \to \infty} (\sqrt{x^{2} + 1} - x)

{lim}_{x \to - 3} \frac{1}{x + 2} = - 1

{lim}_{x \to 0^{+}} \frac{| x |}{x} = 1

lim x \to 0 \frac{e^{1 / x} - 1}{e^{1 / x} + 1}

Join BYJU'S Learning Program