I was recently Taylor-expanding ln around (1,0). I noticed that this polynomial will have a range of input that converges between 0 and 2 regardless of Taylor order. I then found an expansion that did not seem to have this issue, namely: lim_(n->+oo)2*sum lim_(i=0)^n ((1)/(2i+1)*(((x-1)/(x+1)))^(2i+1))=ln(x) My question is: how is this formula derived (as in created, not the derivative) from ln?

$\frac{20b}{{\left(4b^3\right)}^3}$

Which operation could we perform in order to find the number of milliseconds in a year??
${\displaystyle 60\cdot 60\cdot 24\cdot 7\cdot 365}$
${\displaystyle 1000\cdot 60\cdot 60\cdot 24\cdot 365}$
${\displaystyle 24\cdot 60\cdot 100\cdot 7\cdot 52}$
${\displaystyle 1000\cdot 60\cdot 24\cdot 7\cdot 52?}$

Tell about the meaning of Sxx and Sxy in simple linear regression,, especially the meaning of those formulas

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A) No
B) 0
C) Yes
D) 6

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149600000000 is equal to
A)$1.496\times <!--\; \times \; -->{10}^{11}$
B)$1.496\times <!--\; \times \; -->{10}^{10}$
C)$1.496\times <!--\; \times \; -->{10}^{12}$
D)$1.496\times <!--\; \times \; -->{10}^8$

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