Question

If L = `lim_(x→∞)(x^2sin  1/x - x)/(1 - |x|)`, then value of L is ______.

पर्याय

• 0.00

• 1.00

• 2.00

• 3.00

Answer 1

If L = `lim_(x→∞)(x^2sin  1/x - x)/(1 - |x|)`, then value of L is 0.00.

Explanation:

L = `lim_(x→∞)(x^2sin  1/x - x)/(1 - |x|)`

= `lim_(x→∞)(x(xsin  1/x - 1))/(x(1/x - 1))`

= 0