设f(x)在（－∞,+∞）内可导,且在x->∞时f‘(x)=e,lim((x+c)/(x-c))^x=lim(f(x)-

f（x）在正负无穷内可倒,且在x→∞时 limf '（x）=e,lim[ (x+c)/(x-c)]^x=lim[f(x) 设函数f(x)在(a,+∞ )上可导,且lim(x->+∞ )(f(x)+f'(x))=0,证明:lim(x->+∞ ) f(x)是定义在(0,+∞)上的连续可微函数,且lim(x->+∞)(f(x)+f ' (x))=0,证明lim(x-> 设f(x)在x=0的某一邻域内二阶可导,且lim(x-->0)f(x)/x=0,f''(0)=2.求lim(x-->0) 设f(x)有二阶导数,且f''(X)>0,lim(x趋于0）f(x)/x=1 ..证明：当x>0时,有f(x)>x 设f(x)具有连续导数,且满足f(x)=x+∫(上x下0)tf'(x-t)dt求lim(x->-∞)f(x) 设函数f(x)在x=2处连续,且lim（x→2）f(x)/(x-2)(x→2)=3,求f'(2). 设f(x)在x=0的邻域内有三阶导数,且x->0时,lim(1+x+f(x)/x)^(1/x)=e^3.求（1）：f(0 已知 lim(x->+∞)f'(x)=0 证明：lim(x->+∞)f(x)=常数 设f(x)在x=0处连续,且lim(x趋于0)f(x)/x存在,证明,f(x)在x=0处可导 设f(x)在[0,+∞)上有连续的一阶导数,且lim(x→∞)f'(x)=a,证lim(x→∞)f(x)=∞ f二阶可导,如果lim x->∞(f(x)+2f'(x)+f''(x))=l证明lim x->∞ f(x)=l lim