What is the limit as x approaches infinity of arctan(x^6-x^9) ?

The limit as x approaches infinity of arctan(x^6-x^9) is -pi/2

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limit as x approaches infinity of arctan(x^6-x^9)

x \to \infty lim (arctan (x^{6} - x^{9}))

- \frac{π}{2}

Decimal Notation

- 1.57079 \dots

Solution steps

x \to \infty lim (arctan (x^{6} - x^{9}))

Apply the Limit Chain Rule:

- \frac{π}{2}

= - \frac{π}{2}

y = arctan (3 x)

f (x) = \frac{3 + 4 x ^{\frac{1}{2}}}{2 + x ^{\frac{3}{2}}}

\int \frac{x ^{2}}{( 5 - x ^{2} ) ^{3}} d x

n = 0 \sum \infty cos (πn)

\frac{d}{d x} (ln (x^{3} - 2 x^{2} + 2))

What is the limit as x approaches infinity of arctan(x^6-x^9) ?
The limit as x approaches infinity of arctan(x^6-x^9) is -pi/2