Find a and b so That The Function:

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Question

Find a and b so that the function:

None of these

diffcult

Solution

Correct option is

Since continuous for x ∈ [0, π],

∴ f (x) is continuous at x = π/4 and x = π/2 and hence to discuss continuity

At x = π/4 and x = π/2.

Now at x = π/4

Again, Right hand limit at x = π/4

for continuity, these three must be equal

At x = π/2

Left hand limit at x = π/2

LHL = b …(iv)

Right hand limit at x = π/2

RHL = – a – b …(v)

and

For Continuity, these three must be equal

Solving (a) and (b), we get:

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