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Dane są ciągi a_{n}= \frac{6n^{3}+5n-7 }{(1-n)^3} oraz b_{n}= \frac{ \sqrt[3]{27^3-1} }{(1-n)}. Oblicz granicę ciągu c_{n}= (3b_{n}-a_n)^2
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Proszę o przetłumaczenie tych fragmentów na polski. Jeśli nie macie czasu to chociaż a. Prosze o szybką pomoc. BEZ TLANSLATORÓW a) In 1880, Vincent van Gogh followed the suggestion of his brother Theo and took up painting in earnest. For a brief period Vincent took painting lessons from Anton Mauve at The Hague. Although Vicent and Anton soon split over divergence of artistic views, influences of the Hague School of painting would remain in Vincents work, notably in the way he played with light and in the looseness of his brush strokes. However his usage of colours, favouring dark tones, set him apart from his teacher. In 1881 he declared his love to his widowed cousin Kee Vos, who rejected him. Later he would move in with the prostitute Sien Hoornik and her children and considered marrying her; his father was strictly against this relationship and even his brother Theo advised against it. They later separated. b) In the winter of 1885-1886 Van Gogh attended the art academy of Antwerp, Belgium. This proved a disappointment as he was dismissed after a few months by his Professor. Van Gogh did however get in touch with Japanese art during this period, which he started to collect eagerly. He admired its bright colors, use of canvas space and the role lines played in the picture. These impressions would influence him strongly. Van Gogh made some painting in Japanese style. c) Especially the technique known as pointillism (where many small dots are applied to the canvas that blend into rich colors only in the eye of the beholder, seeing it from a distance) made its mark on Van Goghs own style. It should be noted that Van Gogh is regarded as a post-impressionist, rather than an impressionist. d) Only Paul Gauguin, whose simplified colour schemes and forms (known as synthetism) attracted van Gogh, followed his invitation. The admiration was mutual, and Gauguin painted van Gogh painting sunflowers. However their encounter ended in a quarrel. Van Gogh suffered a mental breakdown and cut off part of his left ear, which he gave to a startled prostitute friend. Gauguin left in December 1888. e) Gachet had been recommended to him by Pissarro; he had treated several artists before. Here van Gogh created his only etching: a portrait of the melancholic doctor Gachet. His depression aggravated. On July 27 of the same year, at the age of 37, after a fit of painting activity, van Gogh shot himself in the chest. He died two days later, with Theo at his side, who reported his last words as "La tristesse durera toujours" (French: "The sadness will last forever"). He was buried at the cemetery of Auvers-sur-Oise; Theo unable to come to terms with his brother's death died 6 months later and was buried next to him. It would not take long before his fame grew higher and higher. Large exhibitions were organized soon: Paris 1901, Amsterdam 1905, Cologne 1912, New York 1913 and Berlin 1914.
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