2. The sequence {an} is defined by a = 2, and 2 An+1 = = {(an + ) an for n > 1. Assuming that {an) converges, find its limit.
Cheat Sheet Center of Masse TE S" x8dA 8dA s'y dA y = SEDA Centroid: SidA Sayda y = Гал dA TABLE 8.1 Basic integration formulas 1. 12. 2. 13. . +7 3. 14. tan x dx = In see x + c cotx dx = tn (sin x) + c . I socx see x dx = In secx + tan x + c 5. Sesex dx = - In pesex + cor x + c S. sinh x dx = coshx + C Sco cosh x dx - sinh x + c 15 5. 16. | xdx = kx + C (any number ) - \ * ds - o + c / 4 – In [w+ c 4. Jede=e+c s. ſa de - o + C (2> 0,2*1) 6. / sinx dr == | cos x dx = sinx + c secºs dix = tanx + c Senes esex dr = -cotx + c socx tanx ds = sec x + c Sese x cotx dx = -csex + c 6 sin x 1 = -cosx + C 17. 7. de 18. . sin + c 8. 19. 9. dx 20. .lv Juventus-so-+ c see + C 10. 21. m sinh () + C (a > 0) 11. CSC dix . 22. = cosh + C (x > > 0) sin(a+b) = sin a cosb + cosa sin b cos(a + b) = cos a cosb - sin a sin b sin(a - b) = sin a cos b-cosa sin b cos(a - b) = cos a cos b + sin a sinb
2. The sequence {an} is defined by a = 2, and 2 An+1 = = {(an + ) an for n > 1. Assuming that {an) converges, find its l
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2. The sequence {an} is defined by a = 2, and 2 An+1 = = {(an + ) an for n > 1. Assuming that {an) converges, find its l
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