Question

$$lim_{x-x-1}\frac{x^{3}-6x^{2}+11x-6}{x^{3}+4x^{2}-19x+14}$$

Answer

$$14+l*IM*m*x-9*x-7*x^3-2*x^2$$

Solution


Simplify  \(1\times {x}^{3}\)  to  \({x}^{3}\).
\[l\imath mx-x-{x}^{3}-6{x}^{2}+11x-6{x}^{3}+4{x}^{2}-19x+14\]
Collect like terms.
\[14+l\imath mx+(-x+11x-19x-{x}^{3}-6{x}^{3}-6{x}^{2}+4{x}^{2})\]
Simplify.
\[14+l\imath mx-9x-7{x}^{3}-2{x}^{2}\]