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Limits — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsLimits2 Marks
MCQ
$\lim _{x \rightarrow 1}[x]=$
  • A
    $0$
  • B
    1
  • ✓
    does not exist
  • D
    none of these
✓

Answer

Correct option: C.
does not exist
(C)
$\lim _{x \rightarrow 1^{-}}[x]=\lim _{h \rightarrow 0}[1-h]=\lim _{h \rightarrow 0} 0=0$
and $\lim _{x \rightarrow 1^{+}}[x]=\lim _{h \rightarrow 0}[1+h]=\lim _{h \rightarrow 0} 1=1$
Hence, limit does not exist.

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