Question:

Let π‘“βˆΆβ„β†’β„ be a function defined by
𝑓(π‘₯)=π‘₯2 sin(π‘₯-1) + π‘₯𝑒(π‘₯βˆ’1) , π‘₯βˆˆβ„ . 
Then, 
\(lim_{π‘›β†’βˆž} 𝑛 (𝑓 (1+\frac{1}{n} )+𝑓 (1+\frac{2}{𝑛} )+ β‹― +𝑓(1+\frac{10}{𝑛} )βˆ’10)\)
equals ________

Updated On: Oct 1, 2024
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Correct Answer: 165

Solution and Explanation

The correct answer is: 165
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