It has been a while that I've done math. induction and I'm having trouble with this challenge:
Use mathematical induction to prove that if n is a positive integer and lim f(x) as x-->a = L ; the lim [f(x)]^n as x-->a = [L]^n
How should this proof be approached?
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is written as \lim_{x\to a}f(x). is written as \int_{a}^{b}f(x)dx. is written as \frac{a}{b}. is \sqrt{a}. is a^{b}. Surround the expressions with math tags. The close math tag is [/tex] and the opening one is [tex]. Or you can just highlight the expression and click the Sigma ( ) button on the toolbar.