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

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