Math 141 Quiz 7 Name SHOW WORK FOR CREDIT. N O CREDIT WILL BE GIVEN IF WORK IS NOT SHOWN EVEN IF YOU HAVE THE CORRECT ANSWER 1. Determine if the following series are convergent or divergent 0'0 sin( 1m ) 2 11 11:3 2. Find the values of X for which Emaill'il and tell if the series converges or diverges when given the series (ac5)" 2 T 11-] L= liml 11pin 3. Find power series for the following functions I. 1+}:i 4. Write down the rst 4 Taylor polynomials around zero and plot f(X) a long with its approximation f (x) 2 e 2x+ 1 5. Use the integral test to determine if the series converges or diverges 2T\" 1 1 k=12k 2k+1 6. Use the comparison test test to determine if the series converges or diverges 2'\" 1 k=12k4+8 7. EVALUATE THE INTEGRALS. USE TRIG SUBSTITUTION AND SHOW WORK FOR CREDIT I'xllBxz dx