Answer
$\dfrac {11}{4}$
Work Step by Step
$\lim _{x\rightarrow 1}\dfrac {x^{11}-1}{x^{4}-1}=\dfrac {\dfrac {d}{dx}\left( x^{11}-1\right) }{\dfrac {d}{dx}\left( x^{4}-1\right) }=\dfrac {11x^{10}}{4x^{3}}=\dfrac {11}{4}x^{7}=\dfrac {11}{4}\times 1^{7}=\dfrac {11}{4}$
