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Discuss the continuity of the function `f(x)={2x-1 `,ifx<2,`(3x)/2`,ifx` geq2`at x=2

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RD SHARMA ENGLISH-CONTINUITY-All Questions
  1. Discuss the continuity of the function f(x)={2x-1 ,ifx<2,(3x)/2,if...

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  2. If f(x)=(2x+3sinx)/(3x+2sinx),x!=0 is continuous at x=0 , then find f(...

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  3. For what value of k is the function f(x)={(x^2-1)/(x-1), ,x!=1,k,x=1...

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  4. Find the values of a and b so that the function f given by f(x)={ax+b,...

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  5. Let f(x)=(log(1+x/a)-log(1-x/b))/x ,\ \ x!=0 . Find the value of f at ...

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  6. If f(x)={(cos^2x-sin^2x-1)/(sqrt(x^2+1)-1), x!=0,and f(x)=k, x=0" is ...

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  7. Extend the definition of the following by continuity f(x)=(1-cos7(x...

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  8. Find the value of a for which the function f defined by f(x)={asinpi/...

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  9. Show that f(x)={1+x^2,if0lt=xlt=1 and 2-x if x &gt;1 is discontinuous...

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  10. Discuss continuity of f(x)={{:(x^(2)/2, if 0le x le 1),(2x^(2)-3x+3/2,...

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  11. Examine the continuity of the function f(x)=3x-2,xlt=0, f(x)=x+1,x>...

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  12. Discuss the continuity of the function f(x)=x, \if \x >0, f(x)= 1,\...

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  13. Discuss the continuity of the function f(x)={x/(|x|),x!=0 0,x=0

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  14. If f(x)=(tan(pi/4-x))/(cot2x) for x!=pi/4, find the value which can be...

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  15. Determine the value of a ,b ,c for which the function f(x)={(sin(a+1)x...

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  16. Show that f(x)=(x-|x|)/(2), when \ x!=0 f(x)=2 \ when \ x=0 \ is \ d...

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  17. Find the relationship between a and b so that the function 'f' def...

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  18. If f(x)=(sin3x)/x,w h e nx!=0, f(x)= 1,w h e n x=0 Find whether f(x) i...

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  19. Prove that the function f(x)={(sinx)/x,x<0x+1,xgeq0 is everywhere ...

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  20. Let f(x)=(1-cosx)/(x^2),\ \ \ w h e n\ x!=0,\ f(x)=1,\ \ \ w h e n\ x...

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