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Discuss the continuity of the function f...

Discuss the continuity of the function `f(x)` given by `f(x)={2x-1,ifx<0 and 2x+1,ifxgeq0`

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RD SHARMA ENGLISH-CONTINUITY-All Questions
  1. If f(x)={(1-cos10x)/(x^2a),x<0(sqrt(x))/(sqrt(625)+sqrt(x)-25),x >0,x=...

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  2. If f(x)={((sin(cosx)-cosx)/((pi-2x)^2) ,, x!=pi/2),(k ,, x=pi/2):} is ...

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  3. Discuss the continuity of the function f(x) given by f(x)={2x-1,ifx...

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  4. The value of a for which the function f(x)={(((4^x-1)^3)/(sin(x/a)log...

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  5. If f(x)={(ax^2+b ,0lex<1),(4,x=1),(x+3,1ltxge2)) then the value of(a...

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  6. If f(x)={(2^(x+2)-16)/(4^x-16), if x!=2, k if x=2 is continuous at x=2...

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  7. Let f(x)={(1-cos4x)/(x^2a,),ifx<0(sqrt(x))/(sqrt(16+sqrt(x))-4),ifx >0...

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  8. if the function f(x) defined by f(x)=(log(1+a x)-"log"(1-b x))/x ,...

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  9. Find the value of a if the function f(x) defined by f(x)={2x-a, ,x<...

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  10. Find the value of the constant k so that the function given belo...

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  11. Discuss the continuity of the f(x) at the indicated point: f(x)=...

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  12. Leg f(x+y)=f(x)+f(y)fora l lx , y in R , If f(x)i scon t inuou sa tx=...

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  13. If f(x)=(sqrt(2)cosx-1)/(cotx-1),x!=pi/4dot Find the value of f(pi/4) ...

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  14. Determine f(0) so that the function f(x) defined by f(x)=((4^x-1)^3)/...

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  15. The function f(x)={x^2a a,if1lt=x<sqrt(2),if0lt=1(2b^2-4b)/(x^2),ifsqr...

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  16. Iff(x)={(x-4)/(|x-4|)+a,ifx<4 a+b,if x = 4 (x-4)/(|x-4|)+b,if x >4 is ...

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  17. Prove that the function f(x)={x/(|x|+2x^2),x!=0 and k ,x=0 remains d...

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  18. Show that f(x)={((sin3x)/(tan2x) ,, if x<0),(3/2 ,, if x=0),((log(1+3...

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  19. Find all point of discountinuity of the function f(t) = (1)/(t^(2)...

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  20. Given the function f(x)=1/(x+2). Find the points of discontinuity of t...

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