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Find the Value of the Limit limxπ2arctanxln(2x11+2x)\lim _ { x \rightarrow \infty } \frac { \frac { \pi } { 2 } - \arctan x } { \ln \left( \frac { 2 x - 1 } { 1 + 2 x } \right) }

question 157

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Find the value of the limit limxπ2arctanxln(2x11+2x)\lim _ { x \rightarrow \infty } \frac { \frac { \pi } { 2 } - \arctan x } { \ln \left( \frac { 2 x - 1 } { 1 + 2 x } \right) } .


Definitions:

Time

A continuous, irreversible progression through past, present, and future, which is a fundamental dimension in which events occur in sequence.

Y-axis

The vertical line on a graph or chart, typically used to represent the range of a dependent variable.

X-axis

The horizontal axis in a coordinate plane, often representing the independent variable in an equation.

Negative Relationship

A correlation where an increase in one variable leads to a decrease in another variable.

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