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Thought-Process to Discover Knowledge
Welcome to the only place where the essence of "limit of a function" is explained.
• `0/0` is called as indeterminate value -- meaning a function evaluating to `0/0` can take any value, it could be `0`, or `1`, or `7`, or `oo`, or undefined.
• other forms of indeterminate values are: `oo/oo`, `oo-oo`, `0^0`, `0xx oo`, or `oo^0`
Rigorous arithmetic calculations may result in `0/0`, but the expression may take some other value. The objective of limits is to find that value. The details explained are revolutionary and provided nowhere else.
Once that is explained, the topics in limits are covered.
(click for the list of lessons in this topic)
Understanding limits with Graphs
Welcome to the astoundingly clear and simple lesson on understanding limits. The geometrical meaning of left-hand-limit and right-hand-limit are explained with graph of a function.
The function is considered as two constituent functions of numerator and denominator and using the graphs of these functions, the limit is explained.
Based on the understanding of numerator and denominator, the L'Hospital's Rule is explained.