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(c) Show that for each real number x, | cosh(x)| < el and | sinh(x)| < el*l. (d) Show that for each nonnegative integer n, and for each real number x, elx| 0 < |R„(x)| < (n + 1)!

(c) Show that for each real number x, | cosh(x)| < el and | sinh(x)| < el*l. (d) Show that for each nonnegative integer n, and for each real number x, elx| 0 < |R„(x)| < (n + 1)!

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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(c) Show that for each real number x, | cosh(x)| < elxl and | sinh(x)| < elxl. (d) Show that for each nonnegative integer n, and for each real number x, elxl 0 < [R„(x)| < (n + 1)!
Transcribed Image Text:(c) Show that for each real number x, | cosh(x)| < elxl and | sinh(x)| < elxl. (d) Show that for each nonnegative integer n, and for each real number x, elxl 0 < [R„(x)| < (n + 1)!
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