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Let f(x)={(5^(1//x)"," , x lt 0),(lambda...

Let `f(x)={(5^(1//x)"," , x lt 0),(lambda[x]",",x ge0):}` and `lambda in R`, then at x = 0

A

(a) f is continuous whatever `lambda` may be

B

(b) f is discontinuous

C

(c) f is continuous only if `lambda = 0`

D

(d) none of these

Text Solution

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The correct Answer is:
A
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