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3.9 Improper integrals

1.

(a) $2$(b) divergence (c) $-1$

2.

(a) $1$(b) convergence for $\alpha > 1$, divergence for $\alpha \leq 1$(c) convergence for $\alpha > 1$，divergence for $\alpha \leq 1$

3.

(a) convergence $\displaystyle{\frac{\sqrt{\pi} \Gamma({1}/{4})}{2 \Gamma ({3/4})}}$(b) convergence $-4$