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+2 votes
149k views
in Mathematics by (34.4k points)

The function f(x) = (log(1 + ax) - log(1 - bx))/x is not defined at x = 0. 

The value which should be assigned to f at x = 0, so that it is continuous at x = 0, is

(a) a - b

(b) a + b

(c) log a + log b

(d) None of these

1 Answer

+2 votes
by (24.1k points)
selected by
 
Best answer

Correct option (b) a + b

Explanation :

For f(x) to be continuous, we must have

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