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- Chapter 03 - Limits and Continuity
- d $\underline{f}$ be a mapping from //X// on to $\mathbb{R}^k$ defined by $\underline{f}(x)=\left(f_1(x)... tinuous mappings from a metric space //X// into $\mathbb{R}^k$, then the mappings $\underline{f}+\underl
- Chapter 01 - Real Number System
- . * Theorem: Let $\underline x,\underline y\in \mathbb{R}^n$. Then (i) $\|\underline x^2\|=\underline ... pose $\underline x,\underline y, \underline z\in \mathbb{R}^n$ then prove that (a) $\left\| {\,\underlin
- Chapter 04 - Differentiation
- ping of the interval [//a//,//b//] into a space $\mathbb{R}^k$ and $\underline{f}$ be differentiable in