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Let f(x) = (g(x))/(h(x)), where g and h ...

Let `f(x) = (g(x))/(h(x))`, where g and h are continuous functions on the open interval (a, b). Which of the following statements is true for `a lt x lt b` ?

A

(a)f is continuous at all x for which `x ne 0`

B

(b)f is continuous at all x for which g(x) = 0

C

(c)f is continuous at all x for which `g(x) ne 0`

D

(d)f is continuous at all x for which `h(x) ne 0`

Text Solution

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The correct Answer is:
D
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