## Question

The number of points at which the function *f*(*x*) = 1/log |*x*| is discontinuous is

### Solution

Correct option is

3

The function log |x| is not defined at x = 0, so x = 0 is a point of discontinuity. Also, for f (x) to be defined, log, that Hence 1 and –1 are also points of discontinuity. Thus there are three points of discontinuity of f (x).

#### SIMILAR QUESTIONS

Q1

If

where [x] denotes the greatest integer less than or equal to *x*, then equals

easy
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Q2

is equal to

easy
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Q3

is equal to

easy
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Q4

is equal to

easy
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Q5

is equal to

easy
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Q6

is equal to

medium
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Q7

The value of *f*(0) so that the function

is continuous at each point in its domain, is equal to

medium
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Q8

Let

The values of A and B so that *f*(*x*) is continuous everywhere are

medium
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Q9

Let

The value which should be assigned to *f* at *x* = *a* so that it is continuous everywhere is

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Q10

For **R,**

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