Question-156683

Question Number 156683 by cortano last updated on 14/Oct/21

Commented by john_santu last updated on 14/Oct/21

i t s h o u l d b e

\lim_{x \to 1} \frac{x^{2} - 1 + \sqrt{x^{3} + 1} - \sqrt{x^{4} + 1}}{x - 1 + \sqrt{x + 1} - \sqrt{x^{4} + 1}} .

Commented by MathSh last updated on 14/Oct/21

Square root stop after x + 1

Commented by cortano last updated on 15/Oct/21

yes it should be

\lim_{x \to 1} \frac{x^{2} - 1 + \sqrt{x^{3} + 1} - \sqrt{x^{4} + 1}}{x - 1 + \sqrt{x + 1} - \sqrt{x^{2} + 1}}

Answered by john_santu last updated on 15/Oct/21