Question

If the function f(x) defined by

f(x) = $- \sqrt{3}$ is continuous at x = 0, then the value of a is –

• A. 5
• B. 1
• C. –1
• D. None of these

Answer 1

Answer: (A)

5

Answer 2

f(0) = a = $\lim _ { x \rightarrow 0 } \frac { \log ( 1 + 3 x ) - \log ( 1 - 2 x ) } { x }$, $\frac { 0 } { 0 }$

a = $\lim _ { x \rightarrow 0 } \frac { \frac { 1.3 } { 1 + 3 x } - \frac { 1 ( - 2 ) } { 1 - 2 x } } { 1 }$ = 3 –(–2) = 5