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CBSE Class 12-science Answered

are xe^x and ex^x equal
Asked by singhdivyanshu633 | 11 Jan, 2016, 07:03: PM
answered-by-expert Expert Answer
xe to the power of straight x space space and space ex to the power of straight x space are space not space equal. Let space straight x equals space 2 xe to the power of straight x space equals 2 straight e squared space ex to the power of straight x space space equals space straight e open parentheses 2 squared close parentheses equals 4 straight e Hence space for space straight x space equals space 2 comma space xe to the power of straight x space space and space ex to the power of straight x space are space not space equal. In space general space xe to the power of straight x space space and space ex to the power of straight x space are space not space equal. For space some space special space cases space they space may space be space equal. Let space straight x equals space 1 xe to the power of straight x space equals straight e to the power of 1 equals straight e space ex to the power of straight x space space equals space straight e open parentheses 1 to the power of 1 close parentheses equals straight e Hence space for space straight x space equals 1 comma space xe to the power of straight x space space and space ex to the power of straight x space are space equal. In space general space xe to the power of straight x space space and space ex to the power of straight x space are space not space equal space for space all space the space values.
Answered by Vijaykumar Wani | 13 Jan, 2016, 10:41: AM

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