I'm trying to solve the limit lim without using L'Hospital's rule. It's part of a problem for which I am trying to prove that \lim_{h\to0}\frac{\frac{\sin(\pi+h)}{|\pi+h|}-\frac{h}{\pi}}{|h|} exists. After a bit of simplifying and assuming h>0 I have arrived at the first expression.
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real analysis - How to find lim_{hrightarrow 0}frac{sin(ha)}{h}
How to find \lim_{h\rightarrow 0}\frac{\sin(ha)}{h} without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...
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Ok, according to some notes I have, the following is true for a random variable X that can only take on positive values, i.e P(X \int_0^...
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Self-studying some properties of the exponential-function I came to the question of ways to assign a value to the divergent sum $$s=\sum_{k=...
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I use Euclidean Algorithm: 4620 = 101 * 45 + 75. long story short. I get 3 = 2 * 1 + 1. After that 2 = 1 * 2 + 0. gcd(101,4620) = 1. So I us...
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