Proszę o pomoc Oblicz granicę ciągu [latex] lim_{n o infty} frac{ sqrt[]{ n^{2}+5n+3 }+2(n+1) }{7n+ pi } [/latex] Zakoduj trzy pierwsze cyfry po przecinku.

[latex]displaystyle lim_{n o infty} frac{ sqrt{ n^{2}+5n+3 }+2(n+1) }{7n+ pi } =\\ lim_{n o infty} frac{ sqrt{n^2left( 1+dfrac{5}{n}+dfrac{3}{n^2} ight)}+2nleft(1+dfrac{1}{n} ight) }{nleft(7+ dfrac{pi}{n} ight) } =\\ lim_{n o infty} frac{ nsqrt{ 1+dfrac{5}{n}+dfrac{3}{n^2} }+2nleft(1+dfrac{1}{n} ight) }{nleft(7+ dfrac{pi}{n} ight) } =[/latex] [latex]displaystyle lim_{n o infty} frac{ sqrt{ 1+dfrac{5}{n}+dfrac{3}{n^2} }+2left(1+dfrac{1}{n} ight) }{7+ dfrac{pi}{n} } =\\ dfrac{sqrt{1+0+0}+2cdot1}{7}=dfrac{1+2}{7}=dfrac{3}{7}approx0,429 [/latex]