We know that if f is differentiable, we can write the derivative function asf(x+h) – f(x)f'(x) = limh→0hHypothesize what limh→0f(r +h) – 2f(x) + f(x – h)h2should represent. Try to convince the readerthat your hypothesis is correct. For example, you could compute the above limit for several choicesof f and show that the answer agrees with your hypothesis.

Name: We know that if f is differentiable, we can write the derivative func
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Description: We know that if f is differentiable, we can write the derivative function asf(x+h) – f(x)f'(x) = limh→0hHypothesize what limh→0f(r +h) – 2f(x) + f(x – h)h2should represent. Try to convince the readerthat your hypothesis is correct. For example, you

Using the definition of derivative, f '(x) = lim h ➡️ 0 f(x + h) - f(x) / h. We have to prove…

Math

Advanced Math

We know that if f is differentiable, we can write the derivative function as f (x +h) – f(x) f'(x) = lim h→0 Hypothesize what lim f(x + h) – 2f(x) + f(x - -h) should represent. Try to convince the reader h2 that your hypothesis is correct. For example, you could compute the above limit for several choices of f and show that the answer agrees with your hypothesis.

We know that if f is differentiable, we can write the derivative function as f (x +h) – f(x) f'(x) = lim h→0 Hypothesize what lim f(x + h) – 2f(x) + f(x - -h) should represent. Try to convince the reader h2 that your hypothesis is correct. For example, you could compute the above limit for several choices of f and show that the answer agrees with your hypothesis.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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