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Limit, Continuity and Differentiability
Value of $\lim_{x\to 2^-}\{x+(x-[x]^2)\}$ is
$(a)\;0\qquad(b)\;1\qquad(c)\;2\qquad(d)\;3$
jeemain
math
class11
ch13
continuity-and-differentiability
differentiability
easy
q46
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asked
Dec 24, 2013
by
sreemathi.v
retagged
Jul 22, 2014
by
vijayalakshmi.r
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1 Answer
$\lim\limits_{x\to 2^-}\{x+(x-[x]^2)\}=\lim\limits_{h\to 0^+}\{2-h+(2h-[2-h]^2)\}$
$\Rightarrow \lim\limits_{h\to 0}\{2-h+(2-h+2-h-1)^2\}$
$\Rightarrow \{2-h+(3-2h)^2\}$
$\Rightarrow 3$
Hence (d) is the correct option.
answered
Dec 24, 2013
by
sreemathi.v
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