What is the horizontal asymptote of the graph y = arctan(x) as x approaches positive infinity?
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pi/2
As the input (the ratio) to the arctangent function grows toward infinity, the angle approaches 90 degrees (pi/2 radians), which is the angle where the tangent function has its vertical asymptote.
Also asked as:
- As x approaches positive infinity, what value does the function y = arctan(x) approach?