During the lab, we consider different problems involving power series. In preparation, please com...
During the lab, we consider different problems involving power series. In preparation, please complete the following (1) Let ル)?imm=1-2 + 2-3 + 3-4 + 4-5 + (a) Find f (0). Find f (1) (hint: telescoping, look in the examples in the book) b) Show that f(-1) converges by the Alternating Series Test, including verification of the ZERO and DECREASING hypotheses. (c) Use the Alternating Series Estimation Theorem to determine the number of terms sufficient to obtain the value of f(-1) accurate to three decimal places, and compute that estimate
During the lab, we consider different problems involving power series. In preparation, please complete the following (1) Let ル)?imm=1-2 + 2-3 + 3-4 + 4-5 + (a) Find f (0). Find f (1) (hint: telescoping, look in the examples in the book) b) Show that f(-1) converges by the Alternating Series Test, including verification of the ZERO and DECREASING hypotheses. (c) Use the Alternating Series Estimation Theorem to determine the number of terms sufficient to obtain the value of f(-1) accurate to three decimal places, and compute that estimate