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Limit and Continuity in Functions by MD SHAKIL AHMED is a document available to read on EtoBox.
What is Limit and Continuity in Functions about?
The document defines the limit of a function and provides an example to illustrate it. It then presents two problems: 1) Evaluate the limit as x approaches 0 of the function xsin(1/x). The limit is 0 since sin(1/x) is bounded by 1 and xsin(1/x) approaches 0 as x approaches 0. 2) Determine if the limit of a piecewise defined function exists as x approaches 1 from both sides. The limit does not exist since the left and right limits are both 2 but the values above and below 1 are different. 3) A piecewise
- Author
- MD SHAKIL AHMED
- Language
- EN