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Discuss the continuity of the followi...

Discuss the continuity of the following function at x = 0 : `"f"("x")={("x"^4+2x^3+x^2)/(tan^(-1)x),x!=0 and 0,x=0}`

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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
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  7. Using properties of determinants, prove that following |(a+b+2c,a,b),(...

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  9. Let "T" be the set of all triangles in a plane with "R" as relation...

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  10. Show that the points (1,0), (6,0), (0,0) are collinear.

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  11. If "f"("x")=sqrt((sec"x"-1)/(sec+1))" " find "f '"("x")dot Also f...

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  14. show that the semi vertical angle of a right circular cone of given ...

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  15. If the equation of a line "A B" is ("x"-3)/1=("y"+2)/(-2)=("z"-5)/4...

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  16. If "f"("x") is an invertible function, find the inverse of "f"("x")...

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  17. If [[(x+3y),y],[7-x,4]]=[(4,-1),(0,1)], find the values of x and y.

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  18. Solve for x: tan^-1((1-x)/(1+x))=1/2 tan^-1 x, x > 0

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  19. Evaluate: int("x"+cos6"x")/(3"x"^2+sin6"x")" dx"

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