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## Homework Statement

Power Rule: If r and s are integers with no common factor and s=/=0, then

lim(f(x))

^{r/s}= L

^{r/s}

x[tex]\rightarrow[/tex]c

provided that L

^{r/s}is a real number. (If s is even, we assume that L>0)

How can I prove it?

## Homework Equations

## The Attempt at a Solution

I heard that the proof is related to The Sandwich Theorem