CALCULUS:GRAPHICAL,NUMERICAL,..-PACKAGE
5th Edition
ISBN: 9780133320381
Author: Finney
Publisher: SAVVAS L
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Show using continuity directly that the function ƒ(x) = x1/2 is continuous on(0,+∞). Use any arbitrary real number for c > 0 and show that ƒ is continuous at c.
Discuss continuity of f at the values of x where f is not differentiable. Discuss by using the theorem that if f and g are continous at a and c is a constant.
Continuity at an open interval implies integrability and differentiability at the
same open interval.
O True
O False
Suppose that f is differentiable on some open interval containing c, and (c,f(c)) is
a point of inflection of the graph of f. Then f"(c)=O.
O True
O False
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