sin(p+1)x+ sinx 8<0 If f(x)=3 .X=0 ...
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sin(p+1)x+ sinx 8<0 If f(x)=3 .X=0 is continuous atx=0, then the cocted pep.95 X>0 3/2 (3) G2 9) si

JEE/Engineering Exams
Maths
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( f(x)=left{begin{array}{c}frac{operatorname{gin}(p+1) x+operatorname{ain} x}{x}, x<0 frac{sqrt{x+x^{2}}-sqrt{x}}{x^{3 / 2}}, x>0end{array}right. ) Lim ( f(x)=lim _{x rightarrow 0^{-}}left(frac{sin (p+1) x+cos x}{x}right) ) ( =frac{0}{0} ) wing Dit hospitial add ( left.=frac{lim _{x rightarrow 0}[(R+1) cos (1+1) x+cos x}{1}right] ) Wing D-L hospitsel xele ( =frac{lim _{x rightarrow 0^{+}} frac{1}{2 sqrt{1+x}}}{=}=frac{1}{2} ) ( left((p, q)=left(-3 / 2 frac{1}{2}right)right. ) (D) Will bel
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