Class: 11 Subject: Math Topic: Continuity

Question:

For what value of \( \lambda \) is the function \( f(x) = \begin{cases} \lambda (x^{2} - 2x), & x \leq 0 \\ 4x + 1, & x > 0 \end{cases} \) continuous at \( x = 0 \)? Also discuss continuity at \( x = 1 \).
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