Q1. Cauchy's First Fundamental Theorem on limit. Q2. Prove that logn00 1 (n!)n n Q3. Prove that 2,22, 222 Q4. Wierstrass's M-Test. -------- Convergence. Show that Sequence {f}=1 Where fn(x) Q5. Show that the series sinx + sin 2x 2 + sin 3x 3 + = nx 1+nx' Does not convergence uniformly on R. convergence uniformly in 0