Question

find the derivitive of the lim as x approaches pi/2 for sin(x)-1/sqrt(sinx) -1

Answer 1

L'Hospital rule

Answer 2

\[Given \lim x->\pi/2 for \sin(x)-1/\sqrt(sinx) -1\]
\[\lim x->\pi/2 for [(√sinx -1)(√sinx+1)]/(√(sinx) -1)\]
\[\lim x->\pi/2 for √sinx +1\]
apply limit
\[ √\sin(\pi/2)+1\]
1+1
2

ICSE Question Papers Class 9 - http://education-help-online.blogspot.in/2014/09/icse-question-papers-class-9.html