Question

`lim_(xto0) [min(y^(2)-4y+11)(sinx)/(x)]` (where `[.]` denotes the greatest integer function) is
A. -1
B. 1
C. 0
D. 2

Answer 1

Correct Answer - B
`min(y^(2)-4y+11)=min[(y-2)^(2)+7]=7`
or`L=underset(xto0)lim[min(y^(2)-4y+11)(sinx)/(x)]`
`=underset(xto0)lim[(7sinx)/(x)]`
=[a value slightly lesser than 7]
`(|sinx|lt|x|," when "xto0)`
`=6`