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Apr
11
comment Taylor series $ \sqrt{\frac{t}{t+1}}$
nice. thanks you
Apr
11
comment Taylor series $ \sqrt{\frac{t}{t+1}}$
but I dont know if calculated $\sqrt {1-x}=1+\frac{x}{2}-\frac{1}{4}x^2+\ldots$ if it is good. Maybe $\sqrt {1-x+x^2}$ have factor at $x$
Apr
11
accepted Taylor series $ \sqrt{\frac{t}{t+1}}$
Apr
11
asked Taylor series $ \sqrt{\frac{t}{t+1}}$
Apr
11
accepted limit with $\arctan$
Apr
11
comment limit with $\arctan$
the $\frac{1}{2}$ isnt for arctan
Apr
11
revised limit with $\arctan$
added 4 characters in body
Apr
11
comment limit with $\arctan$
this is for $(n+1)$
Apr
11
asked limit with $\arctan$
Apr
10
comment Sum of the roots equation
thanks for the hint, but more important for me is how to find the $x_1+x_2$
Apr
8
comment Sum of the roots equation
Thats true, I need to show that there are two roots on the interval and calculate only the sum
Apr
8
revised Sum of the roots equation
edited body
Apr
8
revised Sum of the roots equation
added 5 characters in body
Apr
8
asked Sum of the roots equation
Apr
7
comment Uniform continuity of $\ln(x)$
ok sorry, my mistake. So the interval where $\ln(x)$ is uniformly continuous and where satisfy Lipschitz condition is this same? $A=[a,\infty)$ with $a>0$ But lipschitz and uniformly continuous isnt equivalent right? Is any exemple function uniformly continuous but not satisfy lipschitz?
Apr
7
comment Uniform continuity of $\ln(x)$
let us continue this discussion in chat
Apr
7
comment Uniform continuity of $\ln(x)$
So why the function isnt uniform comtinuity on $[a,+\infty)$ where satisfy lipschitz but is uniform continuity on interval $[b,+\infty) where b>1
Apr
7
comment Uniform continuity of $\ln(x)$
The interval where f is uniform continuity and satisfy lipschitz condition is the same?
Apr
7
comment Uniform continuity of $\ln(x)$
For me $\frac{1}{x}$ is bounded on$ [a,+\infty) $ where $a>0$ by $f(a)$ but the $\ln$ isnt uniform continouity on the interval. And i thought that lipschitz implies uniform continuity.
Apr
6
asked Uniform continuity of $\ln(x)$