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3. Use the Taylor polynomial around 0 of degree 3 to the function f(x) = sinx to find an approximation to sin(1/2). Use the remainder (without calculating sin(1/2) on the calculator) to show that for that sin(1/2) lies between (61/128) = 0.4765625 and (185/384) = 0.48177083

3. Use the Taylor polynomial around 0 of degree 3 to the function f(x) = sinx to find an approximation to sin(1/2). Use the remainder (without calculating sin(1/2) on the calculator) to show that for that sin(1/2) lies between (61/128) = 0.4765625 and (185/384) = 0.48177083

Advanced Engineering Mathematics
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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3. Use the Taylor polynomial around 0 of degree 3 to the function f(x) = sinx to find an approximation to sin(1/2). Use the remainder (without calculating sin(1/2) on the calculator) to show that for that sin(1/2) lies between (61/128) = 0.4765625 and (185/384) = 0.48177083
Transcribed Image Text:3. Use the Taylor polynomial around 0 of degree 3 to the function f(x) = sinx to find an approximation to sin(1/2). Use the remainder (without calculating sin(1/2) on the calculator) to show that for that sin(1/2) lies between (61/128) = 0.4765625 and (185/384) = 0.48177083
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