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If f(x) = 4[x] − 3, where [x] is greatest integer function of x, then find f(2π), where π = 3.14 - Mathematics and Statistics

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प्रश्न

If f(x) = 4[x] − 3, where [x] is greatest integer function of x, then find f(2π), where π = 3.14

योग

उत्तर

f(x) = 4[x] − 3

f(2π) = 4[2π] − 3

= 4[6.28] − 3   ...[∵ π = 3.14]

= 4(6) − 3  ...`[(because  6 ≤ 6.28 < 7),(therefore  [6.28] = 6)]`

= 21

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Algebra of Functions
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 6: Functions - Exercise 6.2 [पृष्ठ १२८]

APPEARS IN

बालभारती Mathematics and Statistics 2 (Arts and Science) [English] 11 Standard Maharashtra State Board
अध्याय 6 Functions
Exercise 6.2 | Q 9. (d) | पृष्ठ १२८

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