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Show that f(x)={{:((cosax-cosbx)/(x^(2))...

Show that `f(x)={{:((cosax-cosbx)/(x^(2))," if " xne0),((1)/(2)(b^(2)-a^(2))," if "x=0):}"is continuous at 0"`

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Show that f(x)={{:((cos ax-cosbx)/(x^(2)),if x ne 0),(1/2 (b^(2)-a^(2)),if x =0):} where a and b are real constants is continuous at x = 0.

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SRISIRI PUBLICATION-QUESTION PAPER -SECTION - B
  1. Find the value of k if the angle between the straight lines 4x-y+7=0, ...

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  2. A straight line with slope 1 passes through Q(-3,5) and meets the stra...

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  3. Show that f(x)={{:((cosax-cosbx)/(x^(2))," if " xne0),((1)/(2)(b^(2)...

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  4. If f is given by f(x)={{:(k^(2)x-k,"if "xge1),(2,"if "xlt1):} is a co...

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  5. Is f given by f(x)={{:((x^2-9)/(x^2-2x-3)" if "0ltxlt5 " and "xne3),(1...

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  6. Find the derivative of sin2x from the first principles .

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  7. Find the derivative of cosax from the first Principle.

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  8. Find the derivative of tan2x from the first principle.

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  9. Find the derivative of cos^(2)x from the first principle.

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  10. Find the derivative of xsinx from the first principle.

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  11. Find the derivative of the function from first principle x ^(2)

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  12. A particle is moving in a straight line so that after 't' seconds its ...

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  13. The distance-time formula for the motion of a particle along a straigh...

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  14. A stone is dropped into a quiet lake and ripples move in circles at th...

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  15. The volume of a cube is increasing at a rate of 8 cubie centimeters pe...

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  16. Find the equations of the tangent and the normal to the curve y^(4)=ax...

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  17. Find the equations of the tangent and the normal to the curve y=x^(3)+...

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  18. Show that the curves x^(2)+y^(2)=2, 3x^(2)+y^(2)=4x have a common tang...

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  19. S.T the tangent at any point theta on the curve x=c sectheta, y=c tan ...

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  20. Find the value of k, so that the length of the subnormal at any point ...

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