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The value of f at x =0 so that funcation...

The value of f at x =0 so that funcation ` f(x) = (2^(x) -2^(-x))/x , x ne 0` is continuous at x =0 is

A

log 2

B

4

C

`e^(4)`

D

log 4

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The correct Answer is:
D
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TARGET PUBLICATION-CONTINUITY-Critical Thinking
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  3. The value of f at x =0 so that funcation f(x) = (2^(x) -2^(-x))/x , ...

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  4. If f(x)=(3^(x)+3^(-x)-2)/(x^(2)) for x ne 0 is continuous at x = 0, i...

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  7. If {:(f(x),=(e^(5x)-e^(2x))/(sin 3x),",",x != 0),(,=k/2, ",",x = 0):} ...

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  8. If f(x) = (e^(x)-e^(sinx))/(2(x sinx)) , x != 0 is continuous at x = 0...

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

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  10. If {:(f(x),=((4x+1)/(1-4x))^(1/x),",",x != 0),(,=k, ",",x = 0):} is...

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  11. If {:(f(x),=(sec^2x)^(cot^2x),",",x != 0),(,=k, ",",x = 0):} is con...

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  12. If f(x) is continuous at x = (pi)/2, where f(x) = (sinx)^(1/(pi-2x)), ...

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  13. {:(f(x),=(log(1+kx))/(sin x),",",x != 0),(,=5, ",",x = 0):} If f is...

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  14. If {:(f(x),=(logx-log7)/(x-7),",",x != 7),(,=k, ",",x = 7):} is con...

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  15. If f(x) = {{:((log(1+2ax)-log(1-bx))/(x)",",x ne 0),(" "k",",...

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  16. {:(f(x),=((3^(sin x)-1)^(2))/(xlog(1+x)),",",x != 0),(,=k, ",",x = 0):...

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  17. The value of f(0) so that the function f(x) = (log(sec^2 x))/(x sin x)...

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  18. The value of a for which the function f(x)=f(x)={((4^x-1)hat3)/(sin(x...

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  19. f(x) ={((x^2-9)/(x-3)+a,",",x gt 3),(5, ",",x = 3),(2x^2+3x+b, ",",x l...

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  20. If f(x) is continuous at x = 0 , where f(x) ={(x^2+a,",",x ge 0),(2sqr...

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