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Jusaquikie
 3 years ago
lim x → infinity arctan(x^4 − x^6)
Jusaquikie
 3 years ago
lim x → infinity arctan(x^4 − x^6)

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Jusaquikie
 3 years ago
Best ResponseYou've already chosen the best response.0i tried the squeeze but still not sure what to do with pi/2 < arctan(x^4(1x^2) <pi/2

JiLi
 3 years ago
Best ResponseYou've already chosen the best response.2For 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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