3. Determine if the argument is valid, that is, if the third statement is a valid deduction from the first two. Justify your answer using truth tables. Assume that f is a given function on R and a E R. In order for lim f(x) to exist, it is necessary that lim f(x) = lim f(x). However lim f (x) does not exist. Therefore lim f(x) # lim f(x). %3D エー→a+ エ→a- a エ→a+ エ→a-

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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3. Determine if the argument is valid, that is, if the third statement is a valid
deduction from the first two. Justify your answer using truth tables. Assume
that f is a given function on R and a E R.
In order for lim f(x) to exist, it is necessary that lim f(x) = lim f(x).
However lim f (x) does not exist. Therefore lim f(x) # lim f(x).
%3D
エー→a+
エ→a-
a
エ→a+
エ→a-
Transcribed Image Text:3. Determine if the argument is valid, that is, if the third statement is a valid deduction from the first two. Justify your answer using truth tables. Assume that f is a given function on R and a E R. In order for lim f(x) to exist, it is necessary that lim f(x) = lim f(x). However lim f (x) does not exist. Therefore lim f(x) # lim f(x). %3D エー→a+ エ→a- a エ→a+ エ→a-
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