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2. Suppose f : R" →R satisfies the following: whenever {r,} C R" is a sequence satisfying lim In = 1., we have that lim f(z.) = y.. Prove that lim f(r) = y.. Hirnt: Argue by contrapositive. %3D

2. Suppose f : R" →R satisfies the following: whenever {r,} C R" is a sequence satisfying lim In = 1., we have that lim f(z.) = y.. Prove that lim f(r) = y.. Hirnt: Argue by contrapositive. %3D

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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2. Suppose f : R" → R satisfies the following: whenever {r,} C R" is a sequence satisfying lim an = 2., we have that lim f(z,) = y.. Prove that lim f(r) = y.. Hint: Argue by contrapositive.
Transcribed Image Text:2. Suppose f : R" → R satisfies the following: whenever {r,} C R" is a sequence satisfying lim an = 2., we have that lim f(z,) = y.. Prove that lim f(r) = y.. Hint: Argue by contrapositive.
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