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Mathematics
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mera
  • Member for 4 years, 3 months
  • Last seen more than 4 years ago
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Convergence of sequence of sups and sequence of infs of bounded sequence
Apr 21, 2020
0
Let $\{x_n\}_{n \in\mathbb{N}}$ be a bounded sequence of real numbers. Let us define $y_n = \sup\{x_k : k \geq n\}$ and $z_n = \inf{x_k : k \geq n}.$ [duplicate]
Apr 21, 2020
0
Suppose that for every $x$, $y$ such that $x$ is not equal to $y$ we have $|f(x) − f(y)| < |x − y|$
Apr 28, 2020
0
Find the homogeneous linear DE with constant coefficients of least order that has $y = 1 + 2e^{-2x}\cos x$ as a solution.
Apr 29, 2020
-1
Let I := [a, b] and let f : I → R be a continuous function on I such that for each x ∈ I there exists y ∈ I such that |f(x)| > 2|f(y)|
Apr 28, 2020
-1
Let f : R → R be a continuous function such that f(x + y) = f(x) + f(y), ∀x, y ∈ R [closed]
May 4, 2020
-2
Find a homogeneous Cauchy-Euler equation [closed]
May 2, 2020
-3
a sequence {xn} of real numbers is contractive if ∃ a constant C > 0, 0 < C < 1, such that |xn+1 − xn| ≤ C|xn − xn−1| for all n ∈ N. [duplicate]
Apr 22, 2020