Math152 Lab5 1 1+e™ 1. Given f(x): a) Compute[ f(x) dx. (Notice that you can find the anti-derivative by hand by the u-s

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Math152 Lab5 1 1 E 1 Given F X A Compute F X Dx Notice That You Can Find The Anti Derivative By Hand By The U S 1 (40.93 KiB) Viewed 69 times

Math152 Lab5 1 1+e™ 1. Given f(x): a) Compute[ f(x) dx. (Notice that you can find the anti-derivative by hand by the u-substitution u = e.) b) Use the Fundamental Theorem of Calculus (NOT directly!) to compute f(x) dx, then take the limit of your answer as N → ∞ c) Verify your answer to part b) by integrating ƒ(2) da directly in Python. = (₁. sin (-)). 2. Given sequence a₁ = (1 + sin a) Find the first 10 terms of the sequence (approximate values) and guess the value of the limit based on these values. b) Plot the first 50 terms of the sequence and guess the value of the limit based on the graph. c) Find the limit of the sequence (exact and approximate).