Question

please thank you!

GROUP WORK 1, SECTION 11.10 Find the Error It is a beautiful spring morning. You are waiting in line to get your picture taken with a man in an Easter Bunny costume, as an amusing gift for your friends. When you get to the head of the line, the bunny says "My! You are a very big child. "Oh you laugh, "I am not a child. I am just doing this as an amusing gift for my friends. 1 am actusally a calculus student." "What a sweet and precocious word to use,"caleulus-did you leam that word from your older sister or brother?" "No" you protest. "1 realy am a calculus student. Why, justs yesterday I leamodall about aylor searies. Taylor series? How cute! That is... if you think it is cute to learm about LIES!" The person in the Easter Bunny costume is none other than your wild-eyed, hunry-looking tormentor! While you are frozen on his lap in horror, he asks you,"Please tell me, if you will, what is Jo Out of sheer reflex you answer his simple question. "The integral diverges. It doesn't go to any finite num- ber. "Bad person being mean to Easter Bunny!" says the little girl in line behind you. The stranger ignores her."Flow aboutre-慢)dr? andre-x+兴 rs + 4)-?" her. "How aboutr(1-x+x2)dx? andre-x 2 624 Leaving aside the question of how he can talk in math notation, you think for a moment, and then say "They both diverge. In fact, any polynomial like that is going to diverge, going off to infinity. It doesn't matter what the denominators of the coefficients are." --T.T)- you are saying that no matter how large k gets,「←+ 2 6 24 "Well.. yes." Several angry children start throwing chocolate eggs at you. o e-r dr is equal to one! Now get + 24 _ . . . π as k goes to infinity! And "But e": I-x + 2 6 off my lap" As hundreds of children boo you, you walk away, thinking about o e dx. The faux Easter Bunny has just proved that one is equal to infinity! Can this be true? Does it no longer "take one to know one"? Does this mean that all monotheists have suddenly become pantheistic? Or is there a chance, however small, that our hare-y friend has made a mistake? Find the error 691 Plicly acrík-chie, mwhk.nt posted ©2012 dangagr Learning AllRights Reserved Maymt bescane, dopiedordplicated, GROUP WORK 3, SECTION 11.8 Intervals of Convergence I. Consider the power series Σ . (a) Find the egdius of cos (b) Find expressions for the two series at the endpoints of the interval of convergence. (c) Determine whether the series in part (b) converge. (d) What is the interval of convergence? Consider the power series Σ n"r". (a) Write each term of the series in the form (bn. What is bn? (b) Let x be any fixed positive number. What can we say about ba and (b)" asnoo? (c) What does part (b) tell us about the convergence or divergence of (d) Compute the radius and interval of convergence of Σ n"r". IE

Answer 1

까! convensencR L ào n되 A teinaH test convenaes