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QUESTION
Let's do some explorations with approximating ex. Ultimately, we want to approximate e^(23. (a) Compute the second degree of the Taylor polynomial of...
- Let's do some explorations with approximating ex. Ultimately, we want to approximate e^(23.5 ).
- (a) Compute the second degree of the Taylor polynomial of ex centered at x = 0. Let's call it T(x).
- (b) When is err(x) = |e^x − T (x)| < 0.1?
- (c) Give the value for ln(10)? Let's call that a. What is ea?
- (d) Compute 23.5. Let M be the integer part of that fraction. Compute out d = a 23.5 − M ∗ a, both roughly and accurately.
