Question Number 10033 by ridwan balatif last updated on 21/Jan/17

Answered by mrW1 last updated on 21/Jan/17

lim_(x→0)  ((x(cos 4x^2 −1))/((1−(1/(cos^2  2x)))))  =lim_(x→0)  ((x(cos 4x^2 −1)cos^2  2x)/((cos^2  2x−1)))  =lim_(x→0)  ((x(−2sin^2  2x^2 )cos^2  2x)/(−sin^2   2x))  =lim_(x→0)  ((2x^3 (((sin 2x^2 )/(2x^2 )))^2 cos^2  2x)/((((sin 2x)/(2x)))^2 ))  =((2×0×1×1)/1)=0

Commented byridwan balatif last updated on 22/Jan/17

thank you sir