If n∈N , and x denotes the greatest integer less than or equal to x, then  limx→n (−1)[x] is equal to

We have, limx→n− (−1)[x]=(−1)n−1 and limx→n+ (−1)[x]=(−1)n∴ limx→n− (−1)[x]⧸limx→n+ (−1)[x]So, limx→n (−1)10[x] does not exist.