Let f(x) = ` :(3^(1/x); x < 0"," "then at" x = 0),(lambda[x]; x ≥… - Vidyadip

MCQ

Let f(x) = `{{:(3^(1/x); x < 0"," "then at" x = 0),(lambda[x]; x ≥ 0"," lambda ∈ "R"):}`

✓
f is continuous whatever λ maybe
B
none of these
C
f is continuous only if λ = 0
D
f is discontinuous

✓

Answer

Correct option: A.

f is continuous whatever λ maybe

A

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