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mLine 92:
Line 92: − + Line 103:
Line 103: − + − ==The limit of f(x) as x Goes to Infinity==
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That is,
That is,
:For every M > 0, there is a δ > 0 such that, whenever <math>0 < |x-X| < \delta, f(x) > M\,</math>
:For every M > 0, there is a δ > 0 such that, whenever <math>0 < |x-X| < \delta,\quad f(x) > M\,</math>
Consider the function
Consider the function
:<math>\lim_{x\to X}f(x) = - \infty\,</math>
:<math>\lim_{x\to X}f(x) = - \infty\,</math>
means
means
:For every M < 0, there is a δ > 0 such that, whenever <math>0 < |x-X| < \delta, f(x) < ,</math>
:For every M < 0, there is a δ > 0 such that, whenever <math>0 < |x-X| < \delta,\quad f(x) < M.</math>
[[category:mathematics]]
[[category:mathematics]]