Question #d83b9

1 Answer
kubik98
Dec 25, 2017

#Lim_(xrarr0)(1-cosx)/(xsinx)=1/2#

Explanation:

#Lim_(xrarr0)(1-cosx)/(xsinx)*(1+cosx)/(1+cosx)#

#Lim_(xrarr0)(1^2-cos^2x)/(xsinx(1+cosx))#

#Lim_(xrarr0)(sin^2x)/(xsinx(1+cosx))#

#Lim_(xrarr0)(sinx)/(x(1+cosx))#

#Lim_(xrarr0)(sinx)/(x)=1#

#Lim_(xrarr0)(1)/(1+cosx)=1/(1+1)=1/2#

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