设函数f(x)=lim(t+x/t-x)^t,(t趋于无穷)求f'(x)

设函数f(x)=lim(t+x/t-x)^t,(t趋于无穷)求f'(x) 设f(t)=lim[x→∞] t [(x+t)/(x-t)]^x ,则f'(t)=________. 设f(t)=lim(x→∞)t(1+2/x)^(x-t),求f'(t) 设函数t(x)在点X=6处连续,且f(6)= -5 则 lim f(x)=?lim是 x->6 设函数f(x)满足f(0)=0,f(0)的导数存在,令F(x)=∫(0~x)t^(n-1)f(x^(n)-t^(n))dt求lim（x-0）F(x)x^(-2n) 设函数f(x)在区间[a,b]上连续,则lim(x->a)∫(a->x)f(t)dt=____,lim(x->a)1/(x-a)∫(a->x)f(t)dt=_____ 设f(x)=lim(t→∞)(1+π/t)^xt,求f(ln2) 设f(x)是可导函数且f(0)=0,F(x)=∫t^(n-1)f(x^n-t^n)dt,求lim(x→+∞)F(x)/x^2n设f(x)是可导函数,且f(0)=0,F(x)=∫t^(n-1)f(x^n-t^n)dt,求lim(x→+∞)F(x)/x^2n答案是f'(0)/2n求详解 导数题,7.设导函数f^(x)=x³-2,求limf(1+2t)-f(1-t)/t的值 lim[f(1+3t)-f(1)]/(3t)=lim[f(1+3t)-f(1)]/(3t)=lim[f(1+2t)-f(1-t)]/(3t)=(1/3)lim[f(1+2t)-f(1-t)]/t因为f′(x)=x³-2所以f′(1)=1-2=-1所以lim[f(1+3t)-f(1)]/(3t)=-1所以(1/3 设函数y=∫(0,x)(x-t)f(t)dt,f(x)为连续函数, 设F(x)=∫(0趋向x) [(x-t)f(t)dt]/(sinx)^2 求lim(x趋向0)F(x),f(0)存在, 设f(x)为连续函数,a≠0,F(x)=(x^2/x-a)∫(x->a)f(t)dt,则lim(x->a)F(x)等于 基础高数题1、设函数f（x）=lim t趋向于无限大{t^2*sin(x/t)*[φ（x+π/t)-φ(x)]}其中φ具有二阶导数,求f'(x).2、设方程x=(3t^2)+2t+3 (e^ysint)-y+1=0,求d2y/dx2 t=0 设函数t(x)在点X=6处连续,且f(6)= -5 则 lim f(x)=?x->0打错了 条件是lim是 X->6的 极限与定积分设f(t) = ∫[1~(1+1/t)] √(1 + x^t) dx求lim(t-->∞) [t * f(t)] 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)=sin2x,如果f(x+T)是偶函数,则T=什么 设函数f(x)连续,求lim(x→b)x∧2/(x-b)∫(x,b)f(t)dt,求解