When x → 0, the following functions are infinitesimal: A: SiNx / x, B: x ^ 2 + SiNx, C: ln (1 + x) / x, D: 2x-1

When x → 0, the following functions are infinitesimal: A: SiNx / x, B: x ^ 2 + SiNx, C: ln (1 + x) / x, D: 2x-1


B
A=1
C=1
D=-1



If the maximum value of F (x) = cosx + SiNx + A & # 178; (x + π / 4) is the root sign 2 + 3, try to determine the value of constant a


The answer is: a = positive and negative radical [(radical 2 + 3) / π]



The limit of F (x) = the limit of G (x). It is proved that there is infinitesimal from X to x0, so that f (x) = g (x) + a


Because limf (x) = Lim g (x)
So limf (x) - Lim g (x) = 0
So LIM (f (x) - G (x)) = 0
So there exists a such that f (x) - G (x) = a
f(x)=g(x)+a