Let The Values Of A And B So That f(x) Is Continuous Everywhere Are

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Question

Let

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

medium

Solution

Correct option is

A = –1, B = 1

Since sin x and cos x are continuous functions, f (x) is continuous except possibly at and

For f to be continuous at we must have

For f to be continuous at we must have

Hence B = 1 and A = –1.

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SIMILAR QUESTIONS

Q1

The value of is

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Q2

equals

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Q3

If

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

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Q4

is equal to

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Q5

is equal to

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Q6

is equal to

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Q7

is equal to

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Q8

is equal to

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Q9

The value of f(0) so that the function

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

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Q10

Let

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

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