Find the value of (a, b) so that sin 12x lim x+0 x³ cos 12x Write your answer in the form of (a, b) without spaces. (a, b) = + a x² + sin ba X = 10.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Find the value of \((a, b)\) so that

\[
\lim_{{x \to 0}} \frac{\sin 12x}{x^3 \cos 12x} + \frac{a}{x^2} + \frac{\sin bx}{x} = 10.
\]

Write your answer in the form of \((a, b)\) without spaces.

\((a, b) = \_ \)
Transcribed Image Text:Find the value of \((a, b)\) so that \[ \lim_{{x \to 0}} \frac{\sin 12x}{x^3 \cos 12x} + \frac{a}{x^2} + \frac{\sin bx}{x} = 10. \] Write your answer in the form of \((a, b)\) without spaces. \((a, b) = \_ \)
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