Limite de 1/(x^3+10(x^2)) cuando x tiende a 0
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![\lim_{x \to 0} \frac{1}{x^3 + 10x^2} = \lim_{x \to 0} \frac{1}{x^2}*\frac{1}{x + 10}
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\boxed{ Observaci\'on: \lim_{x \to 0} 1/x^n = \infty}
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Entonces:
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\lim_{x \to 0} \frac{1}{x^3 + 10x^2} = \infty*\frac{1}{0 + 10} = \infty/10
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\boxed{ \lim_{x \to 0} \frac{1}{x^3 + 10x^2} = \infty}}](https://tex.z-dn.net/?f=+%5Clim_%7Bx+%5Cto+0%7D++%5Cfrac%7B1%7D%7Bx%5E3+%2B+10x%5E2%7D+%3D++%5Clim_%7Bx+%5Cto+0%7D++%5Cfrac%7B1%7D%7Bx%5E2%7D%2A%5Cfrac%7B1%7D%7Bx+%2B+10%7D%0A%0A%5C+%5C%0A%0A%5Cboxed%7B+Observaci%5C%27on%3A++%5Clim_%7Bx+%5Cto+0%7D+1%2Fx%5En+%3D+%5Cinfty%7D%0A%0A%5C+%5C+%0A%0AEntonces%3A%0A%0A%5C+%5C+%0A%0A+%5Clim_%7Bx+%5Cto+0%7D++%5Cfrac%7B1%7D%7Bx%5E3+%2B+10x%5E2%7D+%3D+%5Cinfty%2A%5Cfrac%7B1%7D%7B0+%2B+10%7D+%3D+%5Cinfty%2F10%0A%0A%5C+%5C%0A%0A%5Cboxed%7B+%5Clim_%7Bx+%5Cto+0%7D++%5Cfrac%7B1%7D%7Bx%5E3+%2B+10x%5E2%7D+%3D+%5Cinfty%7D%7D%0A%0A "\lim_{x \to 0} \frac{1}{x^3 + 10x^2} = \lim_{x \to 0} \frac{1}{x^2}*\frac{1}{x + 10}
\ \
\boxed{ Observaci\'on: \lim_{x \to 0} 1/x^n = \infty}
\ \
Entonces:
\ \
\lim_{x \to 0} \frac{1}{x^3 + 10x^2} = \infty*\frac{1}{0 + 10} = \infty/10
\ \
\boxed{ \lim_{x \to 0} \frac{1}{x^3 + 10x^2} = \infty}}")
Eso es todo, Saludos! Jeizon1L
Eso es todo, Saludos! Jeizon1L
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