- #1
rjs123
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Homework Statement
Let f be a function that has derivatives of all orders for all real numbers.
Assume f(1) = 3, f'(1) = -2, f''(1) = 2, and f'''(1) = 4
a. Write the second-degree Taylor polynomial for f about x = 1 and use it to approximate f(0.7)
b. Write the third-degree Taylor polynomial for f about x = 1 and use it to approximate f(1.2)
a. Write the second-degree Taylor polynomial for f', derivate of f about x = 1 and use it to approximate f'(1.2)
The Attempt at a Solution
I want to use the taylor series formula:
Pn(x) = f(c) + f'(c)(x-c) + f''(c)(x-c)^2/(2!) + f'''(c)(x-c)^3/(3!) + ...
It seems just a matter of plugging in for a and b...but I'm not sure how to start this.