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Limits Continuity and Differentiability question

2020 · 3 Sep · Shift 1 · Q21

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JEE Main
Mathematics
Limits Continuity and Differentiability
2020 · 3 Sep · Shift 1 · Q21

Limits Continuity and Differentiability question

2020 · 3 Sep · Shift 1 · Q21

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

Let [t] denote the greatest integer

\le

t. If for some

\lambda \in

R - {1, 0},

\mathop {\lim }\limits_{x \to 0} \left| {{{1 - x + \left| x \right|} \over {\lambda - x + \left[ x \right]}}} \right|

= L, then L is equal to :

A
1
B
2
C
0
D
${1 \over 2}$

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