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Evaluate the following limit. limx→3x4-812x2-5x-3 - Mathematics

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प्रश्न

Evaluate the following limit.

`lim_(x -> 3) (x^4 - 81)/(2x^2-5x - 3)`

योग

उत्तर

`lim_(x → 3) (x^4 - 81)/(2x^2 - 5x - 3)`

= `lim_(x → 3) ((x - 3) (x + 3) (x^2 + 9))/((x - 3) (2x + 1))`

= `lim_(x → 3) ((x + 3) (x^2 + 9))/(2x + 1)`

= `((3 + 3) (9 + 9))/(6 + 1)`

= `(6 xx 18)/7`

= `108/7`

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 13: Limits and Derivatives - Exercise 13.1 [पृष्ठ ३०१]

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एनसीईआरटी Mathematics [English] Class 11
अध्याय 13 Limits and Derivatives
Exercise 13.1 | Q 8 | पृष्ठ ३०१
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