Functions Question 491
Question: A function f on R into itself is continuous at a point a in R, iff for each $ \in >0 $ , there exists, $ \delta >0 $ such that
[UPSEAT 2004]
Options:
A) $ |f(x)-f(a)|<\in $ Þ $ |x-a|<\delta $
B) $ |f(x)-f(a)|>\in $ Þ $ |x-a|>\delta $
C) $ |x-a|>\delta $ Þ $ |f(x)-f(a)|>\in $
D) $ |x-a|<\delta $ Þ $ |f(x)-f(a)|<\in $
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Answer:
Correct Answer: A
Solution:
It is obvious.
BETA
