Question

Let 𝑓∶ℝ→ℝ be a function defined by
𝑓(𝑥)=𝑥2 sin(𝑥-1) + 𝑥𝑒(𝑥−1) , 𝑥∈ℝ .
Then,
$lim_{𝑛→∞} 𝑛 (𝑓 (1+\frac{1}{n} )+𝑓 (1+\frac{2}{𝑛} )+ ⋯ +𝑓(1+\frac{10}{𝑛} )−10)$
equals ________

Answer 1

The correct answer is: 165