Question

The value of $\underset{x\to 0}{lim}\frac{(1+x{)}^{\frac{1}{2}}-1}{(1+x{)}^{\frac{1}{2}}-1}$
is equal to

• A. $\frac{3}{2}$
• B. $\frac{2}{3}$
• C. $0$
• D. None of these

Answer 1

The correct option is D None of these

$\underset{x\to 0}{lim}\frac{(1+x{)}^{\frac{1}{2}}-1}{(1+x{)}^{\frac{1}{2}}-1}=1$