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Use the fact that e² = Σ k=0 k! 1+x+ (b) Find a series whose sum is · [₁₁-² 2! 3! (a) The antiderivatives of e-²/2 are not elementary functions; this means that, no matter how hard you try, you will not be able to evaluate [e-2²/2 da as a finite sum of functions we know. Instead, find a power series representation of the indefinite integral [e- -²/2 dr. For what a is your representation valid? +. -²/2 dx. for all a.

Use the fact that e² = Σ k=0 k! 1+x+ (b) Find a series whose sum is · [₁₁-² 2! 3! (a) The antiderivatives of e-²/2 are not elementary functions; this means that, no matter how hard you try, you will not be able to evaluate [e-2²/2 da as a finite sum of functions we know. Instead, find a power series representation of the indefinite integral [e- -²/2 dr. For what a is your representation valid? +. -²/2 dx. for all a.

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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Need help with this problem part a and b

Use the fact that e² = 8 k=0 k k! x² 2-3 =1+x+ + + for all r. 2! 3! (a) The antiderivatives of e-²/2 are not elementary functions; this means that, no matter how hard you try, you will not be able to evaluate e-²/2 dx as a finite sum of functions we know. -1²/2 dr. For what is [e-2²1/2 Instead, find a power series representation of the indefinite integral [e-2²/2 your representation valid? (b) Find a series whose sum is Le - 1²/2 dx.
Transcribed Image Text:Use the fact that e² = 8 k=0 k k! x² 2-3 =1+x+ + + for all r. 2! 3! (a) The antiderivatives of e-²/2 are not elementary functions; this means that, no matter how hard you try, you will not be able to evaluate e-²/2 dx as a finite sum of functions we know. -1²/2 dr. For what is [e-2²1/2 Instead, find a power series representation of the indefinite integral [e-2²/2 your representation valid? (b) Find a series whose sum is Le - 1²/2 dx.
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