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7. Prove: if lim,+ f(x) = L, and lim₂+ g(x) = M, then lim f(x) · g(x) = LM. DE-I

7. Prove: if lim,+ f(x) = L, and lim₂+ g(x) = M, then lim f(x) · g(x) = LM. DE-I

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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Wksp 5 Q8

Give a counterexample to the converse of the problem attached 

7. Prove: if limx→a f(x) = L, and limx→a g(x) = M, then lim f(x) g(x)=LM. x→a
Transcribed Image Text:7. Prove: if limx→a f(x) = L, and limx→a g(x) = M, then lim f(x) g(x)=LM. x→a
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