Related InterviewSolutions

• Evaluate the following limit :\(\lim\limits_{\text x \to \infty}\cfrac{(3\text x-1)(4\text x-2)}{(\text x+8)(\text x-1)}\)lim(x→∞) (3x - 1)(4x - 2)/(x + 8)(x - 1)
• Evaluate the following limit :\(\lim\limits_{\text x \to \infty}\cfrac{3\text x^3-4\text x^2+6\text x-1}{2\text x^3+\text x^2-5\text x+7}\)lim(x→∞) (3x3 - 4x2 + 6x - 1)/(2x3 + x2 - 5x + 7)
• Evaluate the following limit :\(\lim\limits_{\text x \to0}\left\{\cfrac{3\text x^2+1}{4\text x^2-1}\right\}^{\cfrac{\text x^3}{1+\text x}}\)lim(x→∞) {(3x2 + 1)/(4x2 - 1)}x3/(1 +x)
• Evaluate the following limit :\(\lim\limits_{\text x \to0}\cfrac{1- cos\,5\text x}{1-cos 6\text x}\)lim(x→0) (1 - cos 5x)/(1- cos 6x)