For each t ∈ R , let [ t ] be the greatest integer less than or equal to t . Then _ x 0^…
Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability
For each t ∈ R, let [t] be the greatest integer less than or equal to t. Then\(\lim _{x \rightarrow 0^{+}} x\left(\left[\frac{1}{x}\right]+\left[\frac{2}{x}\right]+\ldots .+\left[\frac{15}{x}\right]\right)\)
- does not exist in R
- is equal to 0
- is equal to 15
- is equal to 120
Answer
(D) is equal to 120
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