Let f(x) = a,x",g(x)=b,x". Suppose both series converge for |x| < R. Let n=0 n=0 x, be a number such that x < R. Which of statements A-D is false? (A) (a +b,)(x,)" converges to f(x,) + g(x). n=0 (B) converges to f(x)g(xx). n=0 n=0 (C) f(x)= a,x" is continuous at x = xg. n=0 00 n-1 na„x" converges to f'(x,).

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.