Evaluate the following limits If needed enter INF for infini

Evaluate the following limits. If needed, enter INF for infinity and MINF for -infinity.

Solution

write it as

((1 - 5/x +1/x² ) -1)/1/x

both numerator and denominator are going to 0 so by differentiating it we\'ll get

1/2(1 - 5/x +1/x² ) / (-1/x^2)

-x^2 / 2(1 - 5/x +1/x² )

so numerator isgonig fast

this will give -inf

answer = -inf