>>76
lim[c→∞]c^2((exp(x/c)+exp(-x/c))/2-1) = lim[h→+0](exp(hx)+exp(-hx)-2)/(2h^2)
= lim[h→+0](x^2/2)exp(-hx)((exp(hx)-1)/(hx))^2 = x^2/2