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Asked by sarveshvibrantacademy | 09 May, 2019, 23:35: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight f space is space continuous space straight f left parenthesis 0 right parenthesis equals limit as straight x rightwards arrow 0 of space straight f left parenthesis straight x right parenthesis equals limit as straight n rightwards arrow infinity of space straight f left parenthesis straight x subscript straight n right parenthesis space for space any space sequence space straight x subscript straight n space end subscript souch space that space
limit as straight n rightwards arrow infinity of space straight x subscript straight n equals 0
straight f left parenthesis 0 right parenthesis equals limit as straight n rightwards arrow infinity of space straight f open parentheses 1 over 4 to the power of straight n close parentheses equals limit as straight n rightwards arrow infinity of space open parentheses sin space straight e to the power of straight n close parentheses straight e to the power of negative straight n squared end exponent plus fraction numerator 1 over denominator 1 plus begin display style 1 over straight n squared end style end fraction
equals 0 plus 1
equals 1 space space space space space space space space space space space space space space space space space space
as space limit as straight n rightwards arrow infinity of space open parentheses sin space straight e to the power of straight n close parentheses straight e to the power of negative straight n squared end exponent equals 0 space and space vertical line limit as straight n rightwards arrow infinity of space open parentheses sin space straight e to the power of straight n close parentheses straight e to the power of negative straight n squared end exponent vertical line less or equal than straight e to the power of negative straight n squared end exponent space and space straight e to the power of negative straight n squared end exponent space rightwards arrow 0 space as space straight n rightwards arrow infinity end style
Answered by Sneha shidid | 10 May, 2019, 15:56: PM
JEE main - Maths
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JEE main - Maths
Asked by sarveshvibrantacademy | 17 May, 2019, 09:46: AM
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JEE main - Maths
Asked by sarveshvibrantacademy | 17 May, 2019, 09:31: AM
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JEE main - Maths
Asked by sarveshvibrantacademy | 17 May, 2019, 09:18: AM
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JEE main - Maths
Asked by sarveshvibrantacademy | 15 May, 2019, 11:25: AM
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JEE main - Maths
Asked by adjacentcalliber10 | 12 May, 2019, 15:27: PM
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JEE main - Maths
Asked by adjacentcalliber10 | 12 May, 2019, 15:21: PM
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