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Thought-Process to Discover Knowledge

Welcome to nubtrek.

Books and other education websites provide "matter-of-fact" knowledge. Instead, nubtrek provides a thought-process to discover knowledge.

In each of the topic, the outline of the thought-process, for that topic, is provided for learners and educators.

Read in the blogs more about the unique learning experience at nubtrek.continue
11th-12th Foundation

Limit of a function

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)

Calculating Limits

Examining a function at an input value is made simple and clear. Based on the information, how to determine if the function is defined, continuous, or not defined. The following are covered.

 •  examining a function at an input value

 •  limit of a continuous function

 •  limit of a piecewise function

 •  limit of functions with abrupt change

 •  limit of functions that are not defined

(click for the list of pages in the lesson)