just a question: while using comparisons to decide whether the integral converges or diverges we know that 1/x div 1/x^2 conv what about 1/x^3 and 1/x^4???????
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Originally Posted by alex83 just a question: while using comparisons to decide whether the integral converges or diverges we know that 1/x div 1/x^2 conv what about 1/x^3 and 1/x^4??????? ask yourself this question for $\displaystyle x>1$ how are the two functions related. $\displaystyle \frac{1}{x^2}$ and $\displaystyle \frac{1}{x^3}=\frac{1}{x^2}\frac{1}{x}$ Which do you think is smaller
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