InterviewSolution
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InterviewSolution
| 1. |
Largest real value for x such that `sum_(k=0)^(4) ((3^(4-k))/((4-k)!))((x^(k))/(k!))= 32/3` |
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Answer» Correct Answer - 1 `underset(k=0)overset(4)sum((3^(4-k))/((4-k)!))((x^(k))/(k!))` `=underset(k=0)overset(4)sum((4!)/((4-k)!k!)3^(4-k).x^(4).(1)/(4!))` `= underset(k=0)overset(4)sum(.^(4)C_(k).3^(4-k).x^(4))/(04!)` `= ((3+x)^(4))/(4!)` According to the question , `((3+x)^(4))/(4!) = 32/3` or `(3+x)^(4) = 256` or `x + 3 = 256` or `x = 1` |
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