Related InterviewSolutions

• If\(\lim\limits_{\text x \to a}\cfrac{\text x^3-a^3}{\text x-a}=\lim\limits_{\text a\to1}\cfrac{\text x^4-1}{\text x-1}\)lim(x→a) (x3 - a3)/(x - a) = lim(x→1) (x4 - 1)/(x - 1),find all possible values of a.
• Evaluate the following limit :\(\lim\limits_{\text x \to a}\left\{\cfrac{sin\,\text x}{sin\, a}\right\}^{\cfrac{1}{\text x-a}} \)lim(x→0) {sin x/sin a}1/(x - a)
• Evaluate\(\lim\limits_{\text x \to2}\)(5 -x)lim(x→0)