Practicing Success
Practicing Success
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In order that the function f(x) = (x + 1)cotx is continuous at x = 0, f(0) must be defined as equal to |
0 e 1/e none of these |
e |
$\underset{x→0}{\lim}f(x)=\underset{x→0}{\lim}(x+1)^{\cot x}$ (1∞ form) or $\underset{x→0}{\lim}=\underset{x→0}{\lim}[(1+x)^{1/x}]^{\frac{x}{\tan x}}=e^1$ ⇒ f(0) = e. Hence (B) is the correct answer. |
