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Evaluate: underset(x rarr 0)(lim)(e^(3x)...

Evaluate: `underset(x rarr 0)(lim)(e^(3x)-1)/(log(1+5x))`

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underset(xrarr0)"lim"(e^(3x)-1)/(x) =

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UNITED BOOK HOUSE-MCQ-EXERCISE
  1. Evaluate :lim(xrarry)(cos^2x-cos^2y)/(x^2-y^2)

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  2. Evaluate:lim(xrarr0)(sqrt(1+x^2)-sqrt(1+x))/(sqrt(1+x^3)-sqrt(1+x))

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  3. Evaluate: underset(x rarr 0)(lim)(e^(3x)-1)/(log(1+5x))

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  4. Evaluate :lim(xrarrpi//2)(xtanx-pi/2 secx)

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  5. Water is following into a right circular conical vassel. 45 cm deep an...

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  6. if y=f{f(x)},f(0)=0and f'(0)=5 find [dy/dx](x=0)

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  7. Find the coefficient of variation of the following data :

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  8. Find the mean deviation about median from the following data.

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  9. For any two events A and B prove that P(A cup B) le P{A) + P (B).

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  10. From 100 tickets numbered 1, 2,3.. ..... 100.four are drawn at random....

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  11. Two balls are drawn at random from a bag containing 6 white and 4 blac...

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  12. If the circles x^2+y^2+2ax+c^2=0and x^2+y^2+2by+c^2=0touch each other,...

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  13. If acosphi=b costheta,show that a tantheta+b tanphi=(a+b)tan((theta+ph...

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  14. If (cot(alpha-beta))/cotalpha+(cos^2gamma)/(cos^2alpha)=1show that tan...

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  15. Solve :cos^3xcos3x+sin^3xsin3x=0

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  16. In any triangle ABC If sinA : sinB: sinC=4:5:6,then prove that cos A ...

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  17. Find the domain of definition of the function defined by f(x)=1/loge(2...

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  18. Solve :barz=iz^2(z being a complex number)

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  19. if x be real, show that the value of (2x^2-2x+4)/(x^2-4x+3)cannot lie ...

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  20. If alpha be a root of the quadratic equaiton 4x^2+2x-1=0 .Prove that 4...

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