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Evaluate the following limit: limx→3[x+6x] - Mathematics and Statistics

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प्रश्न

Evaluate the following limit:

`lim_(x -> 3) [sqrt(x + 6)/x]`

बेरीज

उत्तर

`lim_(x -> 3) [sqrt(x + 6)/x]`

= `(lim_(x -> 3) sqrt(x + 6))/(lim_(x -> 3) x`

= `sqrt(3 + 6)/3`

= `sqrt(9)/3`

= `3/3`

= 1

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पाठ 7: Limits - EXERCISE 7.1 [पृष्ठ १००]

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