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Real Analysis: Short Questions and MCQs @msc:mcqs_short_questions
16 Hits, Last modified: 5 months ago
whose sum is convergent. - Prove that $\left\{\frac{1}{n+1} \right\}$ is decreasing sequence. - Is the sequence $\left\{\frac{n+2}{n+1} \right\}$ is increasing or decreasing? ... not interval. * (A) $(1,2)$ * (B) $\left(\frac{1}{2},\frac{1}{3} \right)$ * (C) $[3. \pi]$ * (D) $(2\pi,180)$ \\ <btn type="link" collapse="a2
Chapter 02 - Sequence and Series @msc:real_analysis_notes_by_syed_gul_shah
4 Hits, Last modified: 5 months ago
itive integer such that $\left| {\,{s_n}}\right|>\frac{1}{2}s$. * Theorem: Let //a// and //b// be fixe... _n}{t_n}\right\}$ converges to st. (iii) $\left\{\frac{{{s_n}}}{{{t_n}}} \right\}$ converges to $\frac{s}{t}$ provided ${t_n}\ne 0\,\,\,\,\forall \,\,\,n$ and... orem: Let $a_n>0, b_n>0$ and $\lim_{n\to\infty } \frac{a_n}{b_n}=\lambda\ne 0$ then the series $\sum{a_n
Topology: Short Questions and MCQs @msc:mcqs_short_questions
1 Hits, Last modified: 5 months ago
u$? - Write the closure of the set $S=\left\{1+\frac{1}{n}: n \in \mathbb{N} \right\}$ in usual topolo
Number Theory by Ms. Iqra Liaqat @msc:notes
1 Hits, Last modified: 5 months ago
Congruences * Linear congruence * Continuous fraction * Polynomial congruence * Factor theorem