Question: 1. In this question, we will see a technique commonly used in mathematics: comparison. We arcsin(x) da) in two different ways and compare the
1. In this question, we will see a technique commonly used in mathematics: comparison. We arcsin(x) da) in two different ways and compare the result. In compute the same quantity: general, this method reveals some cool mathematics. In our case, we will indirectly show that n=1 converges and find the value it converges to. You can use the following two identities without proof: For any nonzero real number a, we have (1+x) = 1 + (a 1)(a 2) .. (a n + 1)). a(a-1)+ n=1 =1+x+ 2 n! a(a-1)(a-2) 3! for |x| < 1. (1) for |x|
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