Prove statement 6 of theorem A. |f(x) g(x) - 1.M = |f(x) g(x) - Lg(x) + Lg(x)
Question:
|f(x) g(x) - 1.M = |f(x) g(x) - Lg(x) + Lg(x) - LM|
= |g(X) [f(x) - L] + L[g(x) - M]|
¤ |g(x) ||f(x) - L| + |L|| g(X) - M|
Now show that if
Then there is a number δ1 such that
0
Transcribed Image Text:
lim g(x)M
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