Let $\left[ t \right]$ denote the greatest integer $ \le t$. If for some $\lambda \in R - \left\{ {0,\,1} \right\}$, $\mathop {\lim }\limits_{x \to 0} \left| {\frac{{1 - x + |x|}}{{\lambda - x + \left[ x \right]}}} \right| = L$, then $L$ is equal to

JEE MATHEMATICS MCQ: LIMITS

1 Easy

1 of 1

Analyzing +4 | -1

Let

\left[ t \right]

denote the greatest integer

\le t

. If for some

\lambda \in R - \left\{ {0,\,1} \right\}

\lim\limits_{x \to 0} \left| {\frac{{1 - x + |x|}}{{\lambda - x + \left[ x \right]}}} \right| = L

, then

L

is equal to

View answer and explanation

Correct option: B

Option B (2) is correct because by evaluating the limit from both sides and equating them, we find L = 2.