JEE MATHEMATICS MCQ: LIMITS

1 Hard

1 of 1

Application +4 | -1

\mathop {{\text{Lim}}}\limits_{x \to 0} \left( {1 + 2 + 3 + ........ + \left[ {\frac{1}{{\left| {\text{x}} \right|}}} \right]} \right)

where [.] denotes greatest integer function , is equal to

View answer and explanation

Correct option: B

\frac{1}{2}

Option B (

\frac{1}{2}

) is correct. By evaluating the limit as x approaches 0, the expression converges to

\frac{1}{2}

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