Question

please help solve this:

Answer 1

\[\lim_{n \rightarrow +\infty} \frac{ \sqrt{(n+1)} }{ \sqrt{n} }\]

Answer 2

\[\large \implies \lim_{n \rightarrow +\infty} \sqrt{\frac{n+1}{n}}\]
\[\large \implies \lim_{n \rightarrow +\infty} \sqrt{\frac nn + \frac 1n}\]
\[\large \implies \lim_{n \rightarrow +\infty} \sqrt{1 + \frac 1n}\]
now plug in infty
\[\large \implies 1 + \frac{1}{\infty}\]
\[\large \implies 1 + 0\]
\[\large \implies 1\]
does that help?

Answer 3

lol i forgot to square root it...still same thing though

Answer 4

thx :)

Answer 5

should be:

plug in infinity:
\[\large \implies \sqrt{1 + \frac{1}{\infty}}\]
\[\large \implies \sqrt{1 + 0}\]
\[\large \implies \sqrt 1\]
\[\large \implies 1\]

Answer 6

welcome