Question

\lim_{x\rightarrow0}\frac{x^{3}+5x^{2}+11x}{7x^{2}+2x}
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Answer 1

Answer:

Step-by-step explanation:

$\displaystyle\tt{\lim_{x\rightarrow0}\frac{x^{3}+5x^{2}+11x}{7x^{2}+2x}}$

$=\displaystyle\tt{\lim_{x\rightarrow0}\frac{x\left(x^{2}+5x+11\right)}{x\left(7x+2\right)}}$

$=\displaystyle\tt{\lim_{x\rightarrow0}\frac{x^{2}+5x+11}{7x+2}}$

$=\tt{\dfrac{(0)^{2}+5(0)+11}{7(0)+2}}$

$=\tt{\dfrac{11}{2}}$