MATH 2414 Lecture Notes - Lecture 12: Thx
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7 x dx is convergent then n an is convergent f faddx is divergent then. An is divergent is a continuous positive decreasing function on. Determine whether the series converges or diverges using the. I cin ftp. itdx lim tan x to tin tea tan t tan 1. T n positivefor allvalues of x f is positive. 1 as continuous f is continuous f decreasing f is decreasing because the numeratoris constant and denominatoris increasing as. Fanteet e i n converges by integraltest fly the f is positive on ci as f is continuous on. I as f is decreasing on ce as f d. In x thx o l x e thxz. If 1nf o h dx t h dx times c. U in find tu du lim tea fins int cini2 as the diverges byintegraltest as. The series if it is convergent if p 1 and divergent if p e 1 as.