(b) on what interval would you say t3(x) is a close approximation to sin(x)? (enter your answer using interval notation.) on what interval would you say t5(x) is a close approximation to sin(x)? (enter your answer using interval notation.) on what interval would you say t7(x) is a close approximation to sin(x)? (enter your answer using interval notation.) on what interval would you say t9(x) is a close approximation to sin(x)? (enter your answer using interval notation.) on what interval would you say t11(x) is a close approximation to sin(x)? (enter your answer using interval notation.) (c) for t11(x), estimate the interval on which the magnitude of the error is less than 0.1. (round your answer to three decimal places. enter your answer using interval notation.)