Evaluate `lim_(xrarr0)((1-cosx))/(x^(2)).`

1.	Evaluate `lim_(xrarr0)((1-cosx))/(x^(2)).`
Answer» `lim_(xto0)((1-cosx))/(x^(2))=lim_(xto0)(2sin^(2)(x//2))/(((x)/(2))^(2)xx4)` `=1/2lim_(xto0){(sin(x//2))/((x//2))}^(2)=((1)/(2)xx1^(2))=1/2.`

Discussion