Advertisements
Advertisements
Question
If L = `lim_(x→∞)(x^2sin 1/x - x)/(1 - |x|)`, then value of L is ______.
Options
0.00
1.00
2.00
3.00
MCQ
Fill in the Blanks
Solution
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
shaalaa.com
Is there an error in this question or solution?
