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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