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Let f(x) be a continuous function defined for all x belongs to R. If f(x) take rational values for all x belongs to R  and f(2) = 198, then f(2^2) is equal to
Asked by sumsansam | 30 Jul, 2019, 00:14: AM
answered-by-expert Expert Answer
f(x) is continous for all x belonging to R
Therefore, f(x) is continuous at x=2  and f(2)=198
limit as x rightwards arrow 2 to the power of minus of f left parenthesis x right parenthesis equals space f left parenthesis 2 right parenthesis space equals limit as x rightwards arrow 2 to the power of plus of f left parenthesis x right parenthesis S i n c e space 4 greater than 2 space rightwards double arrow limit as x rightwards arrow 4 of f left parenthesis x right parenthesis equals f left parenthesis 2 right parenthesis rightwards double arrow f left parenthesis 2 squared right parenthesis equals f left parenthesis 4 right parenthesis equals 198
Answered by Renu Varma | 30 Jul, 2019, 10:06: AM

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