Practice problem
Evaluate lima→∞∫1a1x2 dx\lim_{a \to \infty} \int_{1}^{a} \frac{1}{x^2}\,dxa→∞lim∫1ax21dx
1x\frac{1}{x}x1
It diverges.
1
Need a hint.
Type a concept, like “slope” or “photosynthesis”.
