Question

Let `f(x)=lim_(ntooo) (x)/(x^(2n)+1).` Then
A. real and equal roots
B. complex roots
C. unequal positive real roots
D. unequal roots

Answer 1

Correct Answer - B::C::D
`f(x)=underset(xtooo)lim(x)/(x^(2n)+1)={{:(x", "x^(2)lt1),(0", "x^(2)gt1),(1//2", "x=1),(-1//2","x=-1):}`
`:.f(1^(+))=f(-1^(-))=0`
f(1^(-))=1,f(-1^(+))=-1`
`f(1)=1//2`