4. Consider the function f:R→R defined by f(z) = 31+7 Give a formal e -ổ proof that lim f(x)=13 Solution: Note that |3r+7– 13| = |31 – 6| = |3| -|1– 2|=3|r – 2|| Then for all e>0, there is a d==/3 such that 0< |z- 2|<8 = e/3 implies that |(3x+7) – 13|= 3|r – 2| < 36 ==
4. Consider the function f:R→R defined by f(z) = 31+7 Give a formal e -ổ proof that lim f(x)=13 Solution: Note that |3r+7– 13| = |31 – 6| = |3| -|1– 2|=3|r – 2|| Then for all e>0, there is a d==/3 such that 0< |z- 2|<8 = e/3 implies that |(3x+7) – 13|= 3|r – 2| < 36 ==
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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