What is the limit as x approaches-infinity of (5x^2-sin(3x))/(x^2+10) ?

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limit as x approaches-infinity of (5x^2-sin(3x))/(x^2+10)

x \to - \infty lim (\frac{5 x ^{2} - sin ( 3 x )}{x ^{2} + 10})

5

Solution steps

x \to - \infty lim (\frac{5 x ^{2} - sin ( 3 x )}{x ^{2} + 10})

Apply the Squeeze Theorem:

5

= 5

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

\frac{d}{d x} (tan (5 - sin (2 x)))

y^{^{'}} = (cos^{2} (x)) (cos^{2} (6 y))

\frac{d y}{d x} = 7 y e^{x + 6}

\frac{( e ^{- 2 s} )}{s - 9}

What is the limit as x approaches-infinity of (5x^2-sin(3x))/(x^2+10) ?
The limit as x approaches-infinity of (5x^2-sin(3x))/(x^2+10) is 5