Can I get detailed steps on how to complete this? Thanks.
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when x is greater than 1 we know that x^2>x for all x.
here x approaches infinity (positive), so x^2 is WAY bigger than x and we can neglect x.
what is left is e^(-x^2) which is 1/e^(x^2)
if x is infinity, then x^2 is also infinity and e^infinity is also infinity.
the problem becomes just
lim 1/infinity which is zero
here x approaches infinity (positive), so x^2 is WAY bigger than x and we can neglect x.
what is left is e^(-x^2) which is 1/e^(x^2)
if x is infinity, then x^2 is also infinity and e^infinity is also infinity.
the problem becomes just
lim 1/infinity which is zero