大一高数极限Lim(n->∞)(1+1/3)(1+1/3^2)(1+1/3^4)…(1+1/3^(2^n))设f(x)在
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大一高数极限
Lim(n->∞)(1+1/3)(1+1/3^2)(1+1/3^4)…(1+1/3^(2^n))
设f(x)在x=x0处可导,求极限lim(x->x0)(xf(x0)-x0f(x))/(x-x0)
利用夹逼定理计算Lim(n->∞)(a^n+b^n)^(1/n),(a>0,b>0)
Lim(n->∞)(1+1/3)(1+1/3^2)(1+1/3^4)…(1+1/3^(2^n))
设f(x)在x=x0处可导,求极限lim(x->x0)(xf(x0)-x0f(x))/(x-x0)
利用夹逼定理计算Lim(n->∞)(a^n+b^n)^(1/n),(a>0,b>0)
![大一高数极限Lim(n->∞)(1+1/3)(1+1/3^2)(1+1/3^4)…(1+1/3^(2^n))设f(x)在](/uploads/image/z/9401417-17-7.jpg?t=%E5%A4%A7%E4%B8%80%E9%AB%98%E6%95%B0%E6%9E%81%E9%99%90Lim%28n-%3E%E2%88%9E%29%281%2B1%2F3%29%281%2B1%2F3%5E2%29%281%2B1%2F3%5E4%29%E2%80%A6%EF%BC%881%2B1%2F3%5E%282%5En%EF%BC%89%29%E8%AE%BEf%EF%BC%88x%EF%BC%89%E5%9C%A8)
lim(x->x0)(xf(x0)-x0f(x))/(x-x0)
=lim(x->x0)(xf(x0)+x0f(x0)-x0f(x0)-x0f(x))/(x-x0)
=limf{(x0)(x-x0)-x0[f(x)-f(x0)]}/(x-x0)
=f(x0)-x0*f(x)的导数
=lim(x->x0)(xf(x0)+x0f(x0)-x0f(x0)-x0f(x))/(x-x0)
=limf{(x0)(x-x0)-x0[f(x)-f(x0)]}/(x-x0)
=f(x0)-x0*f(x)的导数
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