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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)
Basics: Limit of a function
One and only place where the essence of limit(calculus) is explained.
• Indeterminate Value
→ represented by an expression
→ other forms: `oo/oo`, `oo-oo`, `0^0`, `0xx oo`, or `oo^0`
• The following can be true
→ `0/0 = 0`
→ `0/0 = 1`
→ `0/0 = oo`
→ `0/0 = 6` or `8` or `-3`
Understanding the above is essential to understanding limits(calculus). The topic involves figuring out the expected value of a function when it evaluates to `0/0`.