Question

$\lim _ { x \rightarrow 0 }$ $x^{2} + 2x - 1$ is –

• A. 2$f^{- 1}(x) = \frac{x + 4}{3}$ log a
• B. $\lbrack f\{ f(x)\}\rbrack$ log a
• C. log a
• D. None of these

Answer 1

Answer: (A)

2$f^{- 1}(x) = \frac{x + 4}{3}$ log a

Answer 2

$\frac { a ^ { x } - 1 } { \sqrt { a + x } - \sqrt { a } }$ $\left( \frac { 0 } { 0 } \right)$ ⇒

= 2a^xlog a ×

= 2 log a