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underset(x to 0)lim ((e^(1//x) -1)/(e^(1...

`underset(x to 0)lim ((e^(1//x) -1)/(e^(1//x) + 1))`=

A

exists

B

does not exist

C

zero

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
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KCET PREVIOUS YEAR PAPERS-MODEL TEST PAPER 5-Mathematics
  1. underset(n to oo)lim 1/n [ tan pi/(4n) + tan (2pi)/(4n) + tan (3pi)/(4...

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  2. underset(x to 0)lim ((1+x)^(1//x) - e)/(x) equals

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  3. underset(x to 0)lim ((e^(1//x) -1)/(e^(1//x) + 1))=

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  4. OX and OY are two coordinate axes . On OY is taken a fixed point P on ...

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  5. The locus of the point of intersection of tangents to the circles x=a ...

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  6. The locus of the centre of circle which cuts the circles x^2 + y^2 + 4...

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  7. The equation of straight line passing through point of intersection of...

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  8. The locus of mid-point of chords of constant length '2l' of the parabo...

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  9. The equation of tangent at the point (5,2) of a circle is given by 3x-...

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  10. If lim(x to 0) [(x(1+3acosx)- 5bsinx)/(x^3)] = 1 . The value of a and ...

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  11. A point is moving along the parabola y^2 = 8x at the rate of 2m/s . T...

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  12. The summation of the infinite series 1+ (1.3)/6 + (1.3.5)/(6.8) + …. ...

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  13. The comples number a+ib whose modulus is unity and b ne 0 can be writt...

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  14. f(x) = e^(-1//x^2) sin(1//x) for x ne 0 and f(0) =0 . The function ...

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  15. Domain of the function , f(x) = sqrt(sin^(-1) (log2 x)) is

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  16. The value of the intergal int0^(pi//2) (phi(x))/(phi (x) + phi(pi/2...

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  17. For positive integers n(1) and n(2) the value of the expression (1+i...

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  18. For real x, the equation |(x)/(x-1)| + |x| = (x^2)/(|x-1|) has

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  19. If a gt 0, b gt 0 and c gt 0 , then both the roots of the equations ax...

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  20. If m+ np2 = 90 and m-np2 = 30 , then (m,n) is given by

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