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Let f (x)= {((1+ax )^(1//x), x lt 0),( (...

Let `f (x)= {((1+ax )^(1//x), x lt 0),( ((x+c)^(1//3)-1)/((x+1)^(1//2) -1), x gt 0):},` is continous at `x=0,` then `3 (e ^(a)+b+c)` is equal to:

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RD SHARMA ENGLISH-CONTINUITY-All Questions
  1. Let f(x)={(x-4)/(|x-4|a+b)+a ,x<0 (x-4)/(|x-4|)+b ,x >0 Then, f(x) i...

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  2. Let f(x)={(x^4-5x^2+4)/(|(x-1)(x-2)|, x!=1,2 & 6, x=1 & 12 , x = 2 t...

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  3. Let f (x)= {((1+ax )^(1//x), x lt 0),( ((x+c)^(1//3)-1)/((x+1)^(1//2) ...

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  4. Determine the value of the constant m so that the function f(x)={m(x^...

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  5. The value of f(0), so that the function f(x)=((27-2x)^(1/3)-3)/(9-3(2...

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  6. The function f(x)={(e^(1/x)-1)/(e^(1/x)+1),x!=0 0,x=0 (a)is continu...

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  7. The points of discontinuity of the function f(x)={2sqrt(x),0<=x<=l. ...

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  8. If f(x)=(tan(pi/4-x))/(cot2x) for x!=pi/4, find the value of which c...

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  9. Find the values of a and b so that the function f(x) defined by f(x)={...

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  10. f(x)={(sqrt(1+p x)-sqrt(1-p x))/x ,-1lt=x<0(2x+1)/(x-2),0geqxgeq1 is ...

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  11. The value of f(0) so that the function f(x)=(2-(256-7x)^(1/8))/((5x+32...

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  12. Find k if the function f(x)={(sin3x)/x ,x!=0;k/2,x=0 is continuous at...

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  13. Discuss the continuity of the function f(x)={(sin2x)/x ,ifx<0,x+2,ifx...

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  14. Test the continuity of the following function at the origin: f(x)={(|...

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  15. Show that the function f(x) given by f(x)={(xsin(1/x),x!=0),(0,x=0):} ...

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  16. Show that the function f(x) given by f(x)={(sinx)/x+cosx ,x!=0 and 2,...

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  17. Examination the function f(x) given by f(x)={((cosx)/(pi/2-x) ,, x !=...

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  18. Discuss the continuity of the function f(x) given by f(x)={(2-x ,, x<...

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  19. Determine the values of a , b , c for which the function f(x)={((sin(a...

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  20. If f(x)={((1-coskx)/(xsinx) ,, x!=0),(1/2 ,, x=0):} is continuous at x...

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