Use the following steps to prove that the binomial series in Equation (1) converges to (1 +
Question:
Use the following steps to prove that the binomial series in Equation (1) converges to (1 + x)m.
a. Differentiate the series
to show that
b. Define g(x) = (1 + x)-m ƒ(x) and show that g′(x) = 0.
c. From part (b), show that ƒ(x) = (1 + x)m.
Transcribed Image Text:
f(x) = 1 + m Ž(1).** k=1
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ANSWER a To differentiate the series we start by computing the derivative of each term separately fx ...View the full answer
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Related Book For
Thomas Calculus Early Transcendentals
ISBN: 9780321884077
13th Edition
Authors: Joel R Hass, Christopher E Heil, Maurice D Weir
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