Question: . Consider the function sin(a) and its Taylor series centered at c = 0, . . . a. If - Consider the function sin(r) and

Consider the function sin(r) and its Taylor series centered at O, 7!

a. If Z < < use Lagrange's error bound to show that

. Consider the function sin(a) and its Taylor series centered at c = 0, . . . a. If -

Consider the function sin(r) and its Taylor series centered at O, 7! a. If Z < < use Lagrange's error bound to show that the error in the approximation is less than 0.01. b. Use Lagrange's error bound to show that Taylor's formula for sin(r), 3! is valid for all values of x.

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