Prove by induction that for all k, Use this to prove that T n agrees with at x a to order n di ((x a)k) dxj k di ((x a)k) dxj k(k 1) (kj 1)(x a)k j k a L 6 k 1 for k j 0 for kj...

The first formula is clearly true for j 0 Suppose the formula is true for an arbitrary j Then di1 x ...

Prove by induction that for all k, Use this to prove that T n agrees with

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Prove by induction that for all k,

di ((x-a)k) dxj k! = di ((x-a)k) dxj k(k-1) (kj+ 1)(x-a)k-j k! a* L = 6 k! 1 for k=j 0 for kj

Use this to prove that T_nagrees with ƒ at x = a to order n.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Dec 19, 2023 08:04 AM

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Prove by induction that for all k, Use this to prove that T n agrees with

Question:

di ((x-a)k) dxj k! = di ((x-a)k) dxj k(k-1) (kj+ 1)(x-a)k-j k! a* L = 6 k! 1 for k=j 0 for kj

Step by Step Answer:

The first formula is clearly true for j 0 Suppose the formula is true for an arbitrary j Then di1 x...View the full answer

Calculus

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