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

If f(x) `{:( =(sin pix)/(5x)", if " x!=0),(=k ", if " x = 0 ):}` is continuous at x = 0 , then : k =

A

`5/pi`

B

`5pi`

C

`pi/5`

D

1

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The correct Answer is:
c
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MARVEL PUBLICATION-CONTINUITY F FUNCTIONS-MULTIPLE CHOICE QUESTIONS
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  2. If f(x) is continuous at x=3, where f(x)={:{((x^(2)-9)/(x-3),", for"x...

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

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

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

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

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

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

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

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

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

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

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

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  14. If : f(x) {:(=ax^(2)-b", ... " 0 le x lt 1 ),(=2", ...

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  15. If : f(x) {:(=x^(2)", ... "x le 1 ),(= x+5 ", ... "...

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  16. If : f(x) {: (=(x^(2)+3x-10)/(x^(2)+2x-15)", ... "x!= -5 ),(=a", ...

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  17. If : f(x) {:( =x+lambda", ... " x lt 3),(=4", ... " ...

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  18. If the function f(x) {:(= 1+sin. ((pix)/2)", ..." -ooltxle1 ),(=...

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  19. The function f(x) {:(= x+2", ... " 1 lex le 2 ),(=4 ", ...

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  20. In order that the function f(x) = (x+1)^(cot x) is continuous at x=0 ,...

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