How Fast Does It Vanish?
Difficulty: Medium · Topics: Calculus, Limits, Continuity
U qanchalik tez nolga intiladi?
A continuous function f(x) satisfies lim x→ 0fracf(x)1-cos(x^2)=2, and lim x→ 0fracf(x)x^p=q.
What is the value of p+q? (Here p 0 and q 0.)
Uzluksiz f(x) funksiya lim x→ 0fracf(x)1-cos(x^2)=2 ni qanoatlantiradi va lim x→ 0fracf(x)x^p=q.
p+q ning qiymati nechaga teng? (Bu yerda p 0 va q 0.)