logo

Ask Questions, Get Answers

X
 

If $\lim\limits_{x\to 0}\large\frac{\sin px}{\tan 3x}$$=4$ then value of p is

$(a)\;6\qquad(b)\;9\qquad(c)\;12\qquad(d)\;4$

1 Answer

$\lim\limits_{x\to 0}\large\frac{\sin px}{\tan 3x}$
$\Rightarrow \lim\limits_{x\to 0}\large\frac{\sin px}{px}\times \frac{3x}{\tan 3x}\times \frac{p}{3}$
$\Rightarrow 1\times 1 \times \large\frac{p}{3}$
$\Rightarrow \large\frac{p}{3}$$=4$
$\Rightarrow p=12$
Hence (c) is the correct answer.
answered Dec 24, 2013 by sreemathi.v
 

Related questions

Download clay6 mobile appDownload clay6 mobile app
...
X