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find the number of continious function?

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#real-analysis
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How to show that this sequence converges to this limit

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#real-analysis #sequences-and-series
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Are the only solutions to $a^n + b^n =(a+b \forall n\geq 1$, 0, 1?

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#real-analysis
174
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How to prove $\sum\frac1{n^p}$ converges only for $p>1$?

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#real-analysis #sequences-and-series #convergence-divergence #proof-explanation
56
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If $\lim_{x\rightarrow x_{0}}f'(x)=a\in{\mathbb R} $ then $f'(x_{0})=a$

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#real-analysis #limits #continuity
74
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How to show if a set is an open set in R

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#real-analysis #general-topology #discrete-mathematics #real-numbers #epsilon-delta
82
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If $f : [0, 1] \to \mathbb{R}$ is continuous and differentiable on $(0, 1]$ and $\lim_{x \to 0} f'(x) = \infty$, then f is differentiable at 0

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#real-analysis
59
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where does $k$ lie?

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#real-analysis
63
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Explain confusion about the identity $\lim \inf x_n = \lim \inf A_n$, with $A_n = \{x_k | k \ge n\}$

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#real-analysis #sequences-and-series
16
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Determine simpler form of set characteristic

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#real-analysis
498
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Show that the following equation has a real solution

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#calculus #real-analysis #roots
104
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Convergence of $-\sum_{n=1}^\infty\mu(n) J_0(2n)$, where $\mu(n)$ is the Möbius function and $J_0(y)$ the Bessel function of the first kind

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#real-analysis #sequences-and-series #convergence-divergence #asymptotics
78
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Proof of extremum principle, real analysis

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#real-analysis #self-learning #maximum-principle
22
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Finding $p$ such that $k<px+qn<k+1$

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#real-analysis
72
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Confused about this lemma for power series

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#real-analysis #power-series

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