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Jusaquikie

  • 3 years ago

lim x → infinity arctan(x^4 − x^6)

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  1. Jusaquikie
    • 3 years ago
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    i tried the squeeze but still not sure what to do with -pi/2 < arctan(x^4(1-x^2) <pi/2

  2. JiLi
    • 3 years ago
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    For large x, x^6 completely dominates over x^4 so the argumant of arctan will tend toward negative infinity. Therefore the limit you are seeking is -pi/2. http://fooplot.com/plot/oopgxdk0vi

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