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If the function f(x) {:( = 4(5^(x))",.....

If the function f(x) ` {:( = 4(5^(x))",....... " x lt0),(= 8a+x", .........." x ge 0 ) :}` is continuous everywhere in R , then : a =

A

`1/2`

B

2

C

3

D

4

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The correct Answer is:
a
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MARVEL PUBLICATION-CONTINUITY F FUNCTIONS-MULTIPLE CHOICE QUESTIONS
  1. The function f(x) = (x^(3)+x^(2)-16x+20)/(x-2) is not defined at x = 2...

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  2. If f(x) {:(=(x^(n)-2^(n))/(x-2)", if " x!=2 ),(= 1024 ", ...

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  3. If the function f(x) {:( = 4(5^(x))",....... " x lt0),(= 8a+x", ........

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  4. If f(x) {:( =(x-|x|)/x", ... " x!=0 ),(=2", ... " x...

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  5. If f(x) is continuous and f(9/2)=2/9 , then : lim(x to 0) f((1-cos 3x...

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  6. If f(x) = 1/(1-x), then the points of dicontinuity of the composite...

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  7. Value of f(pi/4) so that the function f(x) = (tan(pi/4-x))/(cot 2x), ...

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  8. If the function f(x) {:(=5x-4", ... "0 lt x le 1 ), (=4x^(2)+...

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  9. If f(x) is continuous at x=3, where f(x)={:{((x^(2)-9)/(x-3),", for"x...

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  10. If f(x) {:( =(sin pix)/(5x)", if " x!=0),(=k ", if " x = ...

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  11. If f(x) = |x-2|, then :

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  12. Givenf(x)=ax^(2)+b," "" if "xlt-1 =bx^(2)+ax+4," "" if "xge-1 If...

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  13. If f(x) {:(=(x^(2)-4x+3)/(x^(2)-1)", ..."x!=1 ),( =2", ...

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  14. If : f(x) {:(=(sinx )/x+ cos x", ..."x!=0),(=2", ...

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  15. If : f(x){:( =1", ... x is rational"),(=0", ...x is irr...

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  16. Let f(x) be given that f(x)={{:(,x,"if x is rational"),(,1-x,"if x is ...

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  17. The value of p and q for which the function f(x)""={(sin(p+1)x+sinx)/x...

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  18. If : f(x) {:(=1", ... "0 ltx le (3pi)/4), (= 2 ...

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  19. If : f(x) {:(=x.sin x ", ... " 0 lt x le pi/2),(=pi/2 sin...

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  20. Let : f(x) {:(=(1-cos 4x)/(x^(2))", ... "x lt 0 ),(= a", ...

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