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Sir pls solve the following.
question image
Asked by rsudipto | 29 Dec, 2018, 11:48: AM
answered-by-expert Expert Answer
begin mathsize 12px style limit as x rightwards arrow 0 of open square brackets 1 plus fraction numerator f left parenthesis x right parenthesis over denominator x squared end fraction close square brackets space equals space limit as x rightwards arrow 0 of open square brackets fraction numerator x squared plus f left parenthesis x right parenthesis over denominator x squared end fraction close square brackets space equals space 3 sin c e space t h e space l i m i t space e x i s t s space a n d space t h e space g i v e n space p o l y n o m i a l apostrophe s space d e g r e e space i s space 4 comma space w e space w r i t e space x squared plus f left parenthesis x right parenthesis space equals space a x to the power of 4 plus b x cubed plus 3 x squared h e n c e space f left parenthesis x right parenthesis space equals space a x to the power of 4 plus b x cubed plus 2 x squared f apostrophe left parenthesis x right parenthesis space equals space 4 a x cubed space plus space 3 b x squared space plus space 4 x sin c e space f apostrophe left parenthesis x right parenthesis space equals 0 space a t space x equals 1 space a n d space x equals 2 comma space w e space h a v e 4 a plus 3 b space equals space minus 4 space space 32 a space plus 12 b space equals space minus 8 space space space s o l v i n g space t h e space a b o v e space l i n e a r space e q u a t i o n s comma space w e space g e t space a space equals space 1 divided by 2 space space space space a n d space space b space equals space minus 2 H e n c e space f left parenthesis x right parenthesis space equals space left parenthesis 1 divided by 2 right parenthesis x to the power of 4 space minus 2 x cubed plus 2 x squared end style
 
I guess f(B) as posted in this question is typing error.
Hence from the known f(x), value of the function can be calaculated if we know the value of x
Answered by Thiyagarajan K | 29 Dec, 2018, 14:39: PM

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