Q18 of 147 Page 159

For what value of λ is the function defined by

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

It is given that

It is given that f is continuous at x = 0, then, we get,



And


= 0


= 1



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


f(1) = 4x + 1 = 4 × 1 + 1 = 5


= 4 × 1 + 1 = 5


Then,


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


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