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[TEX]\lim_{x\rightarrow0}\frac{(1+x)^5-(1+5x)}{(x^2+x^5)}\\= \lim_{x\rightarrow0}\frac{(1+x)^5-(1+5x)}{(x^2+x^5)}[/TEX]
[tex]=\lim_{x\to 0}\frac{x^2.(x^3+x^2+10x+10)}{x^2.(x^3+1)}=10[/TEX]
 
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