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Question -

For what value of is the function defined by

continuousat x = 0? What about continuity at x = 1?



Answer -

The given function f is

If f iscontinuous at x = 0, then

Therefore,there is no value of λ for which f is continuous at x =0

At x =1,

f (1) = 4x +1 = 4 × 1 + 1 = 5

Therefore,for any values of λ, f is continuous at x = 1

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