- #1

jisbon

- 476

- 30

- Homework Statement
- Evaluate ##\lim_{n \rightarrow +\infty} \frac {1} {n} [(\frac {1}{n})^{1.5} + (\frac {2}{n})^{1.5} +(\frac {3}{n})^{1.5}+ (\frac {4}{n})^{1.5}+...+(\frac {n}{n})^{1.5}]##

- Relevant Equations
- NIL

Evaluate ##\lim_{n \rightarrow +\infty} \frac {1} {n} [(\frac {1}{n})^{1.5} + (\frac {2}{n})^{1.5} +(\frac {3}{n})^{1.5}+ (\frac {4}{n})^{1.5}+...+(\frac {n}{n})^{1.5}]##

Hello. So I'm solving this question at the moment. I know I'm supposed to find out the summation of this before being able to solve the solution:

##(\frac {1}{n})^{1.5} + (\frac {2}{n})^{1.5} +(\frac {3}{n})^{1.5}+ (\frac {4}{n})^{1.5}+... +(\frac {n}{n})^{1.5}##However, I can't seem to find any AP or GP series in the equation above. There's no fixed difference between ##\frac {1}{n}^{1.5}## and ##\frac {2}{n}^{1.5}## and ... as far as I can tell? Any ideas on how to proceed here? Thank you.

Hello. So I'm solving this question at the moment. I know I'm supposed to find out the summation of this before being able to solve the solution:

##(\frac {1}{n})^{1.5} + (\frac {2}{n})^{1.5} +(\frac {3}{n})^{1.5}+ (\frac {4}{n})^{1.5}+... +(\frac {n}{n})^{1.5}##However, I can't seem to find any AP or GP series in the equation above. There's no fixed difference between ##\frac {1}{n}^{1.5}## and ##\frac {2}{n}^{1.5}## and ... as far as I can tell? Any ideas on how to proceed here? Thank you.

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