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if lim(xrarra)f(x)=lim(xrarra)g(x),then ...

if `lim_(xrarra)f(x)=lim_(xrarra)g(x)`,then whether f(x)=g(x) is always true?Justify your answer by an example

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UNITED BOOK HOUSE-MCQ-EXERCISE
  1. show that lim(nrarr0)(root(3)(n+1)-1)/n=1/3

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  2. If f(x)=x|x|,prove that f'(x)=2|x|.

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  3. if lim(xrarra)f(x)=lim(xrarra)g(x),then whether f(x)=g(x) is always tr...

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  4. From the following array, find out the mean deviation. 7,9,16,24,26,3...

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  5. Define ‘mutually exclusive’ and ‘mutually exhustive’ events and give e...

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  6. Two dice are thrown simultaneously. Find the probability that the sum ...

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  7. For any three sets A,B and C ,prove that A-(BcupC)=(A-B)cap(A-C).

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  8. Find the domain of definition of f(x)=loge ((1-x)/(1+x)) Further show ...

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  9. sintheta=ksin(theta+phi).show that tan(theta+phi)=(sinphi)/(cosphi-K)

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  10. Prove that tan 20^@tan 40^@ tan 60^@ tan 80^@ = 3

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  11. If a sinalpha+bcosalpha=c and a cosecalpha+bsecalpha=c show thatsin2al...

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  12. Prove that 4sin27^@=sqrt(5+sqrt5)-sqrt(3-sqrt5)

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  13. Solve :tanx+tany=1,x+y=pi//4

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  14. If a^4+b^4+c^4+a^2b^2=2c^2(a^2+b^2),, then show thatangleC=60^@or120^@

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  15. Prove using principle of mathematical induction that sum of the cube t...

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  16. If x+iy=((a+ib)/(c+id))^(1//2),show that (x^2+y^2)=(a^2+b^2)/(c^2+d^2)

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  17. If one of the root of the equation px^2 + qx + r = 0 is the cube of th...

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  18. Solve graphically the following system of linear inequations - x - y l...

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  19. How many 4-digit numbers can be formed from the digits 1, 1, 2, 2, 3, ...

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  20. Prove that the middle term in the expansion of (1+x)^(2n)is(1.3.5........

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