12.07.2015 Views

RIJEÅ ENI ZADACI IZ MATEMATIKE

RIJEÅ ENI ZADACI IZ MATEMATIKE

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21. Izračunaj:x − √ 2 − xlimx→1 x − 1Rješenje:x − √ 2 − xlimx→1 x − 1= 1 − √ 2 − 11 − 1= limx→1(x − √ 2 − x) ′(x − 1) ′ =1 − 12 √ 2−x= limx→1 1(= lim 1 +x→1= 1 +· (2 − x)′=)=12 √ 2 − x12 √ 2 − 1 = 1 + 1 2 = 3 2= 0 0 = L′ H =19

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