We will study the following function: f(x) = 1 - cos x x XXXXXXXXXXa) Start by plotting the function, using a grid of the form x = 0.1×i for i = 1, 2,..., 100. This should give you some idea of the...

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We will study the following function: f(x) = 1 - cos x x XXXXXXXXXXa) Start by plotting the function, using a grid of the form x = 0.1×i for i = 1, 2,..., 100. This should give you some idea of the values you should expect for f(x) at small x. (b) Verify your previous hunch by taking the limit x ? 0 and using L’Hopital’s rule. ˆ (c) Now, see what value you find for f(x) when x = 1.2 × XXXXXXXXXXDoes this make sense, even qualitatively? (d) Use a trigonometric identity that enables you to avoid the cancellation. Evaluate the new function at x = 1.2×10-8 and compare with your analytical answer for x ? 0.

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Answered 139 days After May 03, 2022

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Ajay answered on Sep 20 2022

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We will study the following function: f(x) = 1 - cos x x XXXXXXXXXXa) Start by plotting the function, using a grid of the form x = 0.1×i for i = 1, 2,..., 100. This should give you some idea of the...

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