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1. Determine the interval of convergence: {a)r01+3nx. W 12" (b) E 1__3nr" 3. Find a power series for f(x) = 4. Find a power series for x} 2 5. Find a power series for x) 2 7. Write the function f(x) = 1 1 3x2 1 (1-36)? 1 2+3x' 23:: 2x23x+1 00 . Determine the interval of convergence of E Hint: Use Hint: use differentiation. 1 x = E 3:" together with a little bit of algebra. "=0 . Hint: First rewrite f(.r) using partial fractions. ll 2 1:" "=0 1 + 3" 1 as a power series and determine the radius of convergence