Limit | 就是愛看書
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Limitisalsoknownasfunctionlimit,directedlimit,iteratedlimit,nestedlimitandmultivariatelimit.·Limitcomputesthelimitingvaluef*ofafunction ...
![Limit](https://i.imgur.com/y8QtHep.jpg)
Classify the continuity or discontinuity of f at the origin:
It is not defined at 0, so it cannot be continuous:
Moreover, the limit as x0 does not exist:
However, the limit from below exists:
The limit from above also exists, but has a different value:
Therefore, f has a jump discontinuity at 0:
Classify the continuity or discontinuity of f at the origin:
The function is defined:
The two-sided limit exists but does not equal the function value, so this is a removable discontinuity:
Find and classify the discontinuities of a piecewise function:
The function is not defined at zero so it cannot be continuous there:
The function tends to Infinity[1] (on both sides), so this is an infinite discontinuity:
Next find wher...
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