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Popular >

limit as x approaches-3 of (x^3+5x^2-3x-9)/(x^3+7x^2+15x+9)

Solution

x \to - 3 lim (\frac{x ^{3} + 5 x ^{2} - 3 x - 9}{x ^{3} + 7 x ^{2} + 15 x + 9})

Solution

- \infty

Solution steps

x \to - 3 lim (\frac{x ^{3} + 5 x ^{2} - 3 x - 9}{x ^{3} + 7 x ^{2} + 15 x + 9})

If

x \to a - lim f (x) = x \to a + lim f (x) = L

then

x \to a lim f (x) = L

x \to - 3 - lim (\frac{x ^{3} + 5 x ^{2} - 3 x - 9}{x ^{3} + 7 x ^{2} + 15 x + 9}) = - \infty

x \to - 3 + lim (\frac{x ^{3} + 5 x ^{2} - 3 x - 9}{x ^{3} + 7 x ^{2} + 15 x + 9}) = - \infty

= - \infty

Popular Examples

limit as x approaches 3 of 3/(2x-6)

x \to 3 lim (\frac{3}{2 x - 6})

limit as x approaches 0 of (3^x)/x

x \to 0 lim (\frac{3 ^{x}}{x})

limit as x approaches 1 of-3x^4+2x+1

x \to 1 lim (- 3 x^{4} + 2 x + 1)

limit as x approaches 2 of (x+2)^2

x \to 2 lim ((x + 2)^{2})

limit as x approaches 0 of 5x^2ln(x)

x \to 0 lim (5 x^{2} ln (x))

Frequently Asked Questions (FAQ)

What is the limit as x approaches-3 of (x^3+5x^2-3x-9)/(x^3+7x^2+15x+9) ?
The limit as x approaches-3 of (x^3+5x^2-3x-9)/(x^3+7x^2+15x+9) is -infinity