If f (x)= r x+ , x<3 4, x=3 3 x-5, x>3 . is continuous at x=3, th… - Vidyadip

MCQ

If $f (x)=\left\{\begin{array}{r}x+\lambda, x<3 \\ 4, x=3 \\ 3 x-5, x>3\end{array}\right.$ is continuous at $x=3$, then

A
4
B
3
C
2
✓
1

✓

Answer

Correct option: D.

1

(D)
Since $f (x)$ is continuous at $x=3$.
$\therefore f (3)=\lim _{x \rightarrow 3^{-}} f (x)$
$\Rightarrow 4=3+\lambda$
$\Rightarrow \lambda=1$

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