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1-Calculeu els límits següents: a) `lim 3^n=``lim 3^(+\infty)=+\infty` b) `lim 3^(-n)=``lim (3^(-1))^n=(1/3)^n=0` c) `lim(2/3)^n=``0` d) `lim(2/3)^(-n)=``lim((2/3)^(-1))^n=(3/2)^n=+\infty` e) `lim((2n^2)/(5n^2-n))^((3n^3)/(2n^2-5))=``(2/5)^(+\infty)=0` f) `lim((5n^2-3n)/(4n^2-2))^((2n^4-3x)/(2n^3))=``(5/4)^(+\infty)=+\infty` g) `lim((6n^2+3n)/(3n^2-5))^((8n^4+3x)/(2n^4))=``2^4=16` h) `lim((n-3)/(3n^2-5))^((8n^4-3x^2+1)/(3n^4))=``0^(8/3)=0` i) `lim((n^3-3n^2+5)/(2n^2+3))^((12n^2+5)/(3n^2))=``+\infty^4=+\infty` j) `lim((5n^2-3n+2)/(n-3))^((12n^2-3)/(4n))=``+\infty^(+\infty)=+\infty` |