Oral problem

Calculus Level 2

$\lim_{x \to \infty} \frac{\sum_{r =1}^{10}(x + r)^{2010}}{(x^{1006} + 1)(2x^{1004} + 1)}$

2 solutions

Sandeep Rathod
Oct 30, 2014

In denominator x power is 2010 which is same as numerator

now as limit x tends to infinity just we have to 10/2 = 5

Tikli M
Dec 24, 2014

Take x^2010 common in both numerator and denominator. As x tends to infinity , terms of x tend to zero and the expression reduces to 10/2 =5