Q$1.$

$($a$)$ Find $\underset{x}{lim}\frac{-1+x-x^2+x^3}{(x-2)(x-3)(x-4)}$

$($b$)$ Find $\underset{x}{lim}\frac{x^2}{e^{4x}-1-4x}$

$($c$)$ Find $\underset{x}{lim}\frac{3x^6-7x^5+x}{5x^6+4x^5-3}$

$($d$)$ Find $\underset{x2}{lim}\frac{8x^4+3x^2-11x+6}{(2-3x)(2x-3)(4x+7{)}^2}$

$($e$)$ Find $\underset{x}{lim}\frac{1+3x}{\sqrt[\phantom{2}]{2x^2+x}}$