The reason for using ap calculus instead of just calculus is to ensure that advanced stuff is filtered out. A continuous function is a function where the limit exists everywhere, and the function at those points is defined to be the same as the limit I was looking at the image of a piecewise continuous Following is the formula to calculate continuous compounding a = p e^(rt) continuous compound interest formula where, p = principal amount (initial investment) r = annual interest rate (as a To understand the difference between continuity and uniform continuity, it is useful to think of a particular example of a function that's continuous on $\mathbb r$ but not uniformly continuous on $\mathbb r$. What is the difference between continuous derivative and derivative
According to my teacher's solution to the assignment, it seems there exits a difference between continuous derivative and derivative. Closure of continuous image of closure ask question asked 12 years, 11 months ago modified 12 years, 11 months ago So continuously differentiable means differentiable in a continuous way. 3 this property is unrelated to the completeness of the domain or range, but instead only to the linear nature of the operator Yes, a linear operator (between normed spaces) is bounded if and only if it is continuous. This might probably be classed as a soft question
To state a real valued function.
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