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Question

Mathematics Question on Continuity and differentiability

for which value of λ\lambda is the function ,f(x)={λ(x22x)if x0 4x+1if x>0f(x) = \begin{cases} \lambda(x^2-2x) & \text{if } x \leq 0 \\\ 4x+1& \text{if } x > 0 \end{cases} continuous at x=0?x=0 ?

A

λ=0\lambda=0

B

λ=1\lambda=1

C

λ=1\lambda=-1

D

for no value of λ\lambda

Answer

for no value of λ\lambda

Explanation

Solution

The correct option is (D):for no value of λ\lambda