求极限lim(n→0){[1/(5+n)]-1/5}/n
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求极限lim(n→0){[1/(5+n)]-1/5}/n
求极限lim(n→0){[1/(5+n)]-1/5}/n
求极限lim(n→0){[1/(5+n)]-1/5}/n
lim(n→0){[1/(5+n)]-1/5}/n
=lim(n→0){[(5-(5+n)]/[5*(5+n)]}/n
=lim(n→0) {-n/[5(5+n)]/n
=lim(n→0) -1/[5(5+n)]
=-1/25
由洛必达法则上下同时求导。
得 [1/(5+n)^(-2)-1/5]/1
再将n=0代入即可
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