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To make f(x)=(x+1)^(cotx) continuous at ...

To make `f(x)=(x+1)^(cotx)` continuous at `x=0,f(0)` must defined as

A

0

B

e

C

`1//e`

D

1

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The correct Answer is:
B
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KCET PREVIOUS YEAR PAPERS-MODEL TEST PAPER 4-Mathematics
  1. lim(xto0)(e^(x^(2))-cosx)/(x^(2)), is equal to

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  2. If lim(xto0)phi(x)=a^(2),a!=0, then lim(xto0)phi(x//a) is equal to

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  3. To make f(x)=(x+1)^(cotx) continuous at x=0,f(0) must defined as

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  4. If y=log(10)x+log(x)10+log(x)x+log(10)10, then ((dy)/(dx))(x=10) is eq...

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  5. The minium distance from the point (4,2) to the curve y^(2)=8x, is equ...

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  6. If y=x^(x^(x^(x^(x^(oo))))), then x(dy)/(dx) is equal to

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  7. The derivative of sec^(-1)[(1)/(2x^(2)-1)] with respect to sqrt(1-x^(2...

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  8. If y=sin(logx), then

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  9. If int(dx)/(sqrt(1-x^(2)))=sin^(-1)x-=f(1)(x) (say) and int(dx)/(sqrt(...

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  10. inte^(e^(e^(*^(x))))*e^(e^(x))*e^(x) dx equal to

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  11. int(0)^(pi//2)|sinx-cosx|dx is equal to

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  12. int(0)^(a+b)(f(x-a))/(f(x-a)+f(b-x))dx, is equal to

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  13. The area bounded by the parabolas y=x-x^(2) and y=x^(2)-x, is equal to

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  14. int(0)^(1)x(1-x)''dx is equal to

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  15. The order and degree of the differential equation [2-((dy)/(dx))^(2)]^...

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  16. Let vec(a),vec(b) and vec(c) be three independent vectors In the vecto...

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  17. If vec(A)+vec(B)+vec(C)=0 and |vec(A)|=4,|vec(B)|=5 and |vec(C)|=1, th...

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  18. The value of hat(i)xx(vec(a)xxhat(i))+hat(j)xx(vec(a)xxhat(j))+hat(k)x...

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  19. If [vec(a),vec(b),vec(c)] denotes the scalar triple product of the vec...

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  20. The equation r^(2)-2vec(r)*vec(c)=0 represents.

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