For a real number x,[x] denotes integral part of x . value of left[ {frac{1}{2}} right] + left[ {fra

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1.Relation and Function

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For a real number $x,\;[x]$ denotes the integral part of $x$. The value of $\left[ {\frac{1}{2}} \right] + \left[ {\frac{1}{2} + \frac{1}{{100}}} \right] + \left[ {\frac{1}{2} + \frac{2}{{100}}} \right] + .... + \left[ {\frac{1}{2} + \frac{{99}}{{100}}} \right]$ is

$49$

$50$

$48$

$51$

(IIT-1994)

(b) $[x]$ denotes the integral part of $x$.

Hence, after term $\left[ {\frac{1}{2} + \frac{{50}}{{100}}} \right]\,,$ each term will be one.

Hence the sum of given series will be $50.$

Standard 12

Mathematics

normal

normal

hard

(JEE MAIN-2023)

normal

normal