关于高数题 x趋向于0 lim f(x)/x=0时的问题 x趋向于0 lim f(x)/x=0,求x趋向0时 lim {[√1+f(x)]-1}/x注意根号下是 1+f(x)
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关于高数题 x趋向于0 lim f(x)/x=0时的问题 x趋向于0 lim f(x)/x=0,求x趋向0时 lim {[√1+f(x)]-1}/x注意根号下是 1+f(x)
关于高数题 x趋向于0 lim f(x)/x=0时的问题
x趋向于0 lim f(x)/x=0,求x趋向0时 lim {[√1+f(x)]-1}/x
注意根号下是 1+f(x)
关于高数题 x趋向于0 lim f(x)/x=0时的问题 x趋向于0 lim f(x)/x=0,求x趋向0时 lim {[√1+f(x)]-1}/x注意根号下是 1+f(x)
∵lim f(x)/x=0,
x→0
∴f(0) = 0,f'(0) = 0
∴lim {√[1+f(x)]-1}/x
x→0
= lim {½ f'(x)[1+f(x)]^(-½)}/1
x→0
= lim {½ f'(x)[1+f(x)]^(-½)}
x→0
= ½ f'(0)[1+f(0)]^(-½)}
= 0
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