A) 1
B) 2
C) 4
D) 0
E) 3
Correct Answer: E
Solution :
\[f(x)=\frac{3x+{{\tan }^{2}}x}{x}\]is continuous at\[x=0\] \[\underset{x\to 0}{\mathop{\lim }}\,f(x)=\underset{x\to 0}{\mathop{\lim }}\,\frac{3x+{{\tan }^{2}}x}{x}\] \[=\underset{x\to 0}{\mathop{\lim }}\,\frac{3+2\tan x{{\sec }^{2}}x}{1}\] \[=3\] \[\therefore \] \[f(0)=3\]You need to login to perform this action.
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