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Evaluate the following Limits: limx→0(1+x5)1x - Mathematics and Statistics

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प्रश्न

Evaluate the following Limits: `lim_(x -> 0)(1 + x/5)^(1/x)`

योग

उत्तर

`lim_(x -> 0)(1 + x/5)^(1/x)`

= `lim_(x -> 0)[(1 + x/5)^(5/x)]^(1/5)`

= `"e"^(1/5)       ...[lim_(x -> 0) (1 + x)^(1/x) = "e"]`

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Limits of Exponential and Logarithmic Functions
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 7: Limits - MISCELLANEOUS EXERCISE - 7 [पृष्ठ १०६]

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बालभारती Mathematics and Statistics 1 (Commerce) [English] 11 Standard Maharashtra State Board
अध्याय 7 Limits
MISCELLANEOUS EXERCISE - 7 | Q II. 8) | पृष्ठ १०६
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