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E v a l u a t e space limit as x rightwards arrow infinity of fraction numerator x to the power of 6 minus x to the power of 4 plus x squared minus 1 over denominator 7 x to the power of 6 plus 4 x cubed plus 10 end fraction

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Asked by Topperlearning User 16th November 2016, 4:00 AM
Answered by Expert
Answer:

limit as x rightwards arrow infinity of fraction numerator x to the power of 6 minus x to the power of 4 plus x squared minus 1 over denominator 7 x to the power of 6 plus 4 x cubed plus 10 end fraction
equals limit as x rightwards arrow infinity of fraction numerator 1 minus begin display style 1 over x squared end style plus begin display style 1 over x to the power of 4 end style minus begin display style 1 over x to the power of 6 end style over denominator 7 plus begin display style 4 over x cubed end style plus begin display style 10 over x to the power of 6 end style end fraction
equals 1 over 7

Answered by Expert 16th November 2016, 6:00 AM
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