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Evaluate the following: lim(xrarr0) sin^...

Evaluate the following: `lim_(xrarr0) sin^2 (x/2)/(x^2)`

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RESONANCE DPP-JEE MAINS-All Questions
  1. Domain of the function f(x)=sqrt(cos(s in x))+sin(x^2-1)i s [-1,1] [-...

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  2. If two events A and B are such that P(A^c)=0. 3. P(B^c)=0. 4 a n d P...

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  3. Evaluate the following: lim(xrarr0) sin^2 (x/2)/(x^2)

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  4. tan(tan^(-1)5+cot^(-1)1/3) 4/7 b. -4/7 c. 3/7 d. not defined

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  5. If in a A B C , =a^2-(b-c)^2, then tanA is equal to 15//16 b. 8...

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  6. Evaluate the following limit: (lim)(x->0)(1-cos m x)/(1-cos n x)

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  7. The value of cos^(-1)(cos 12)-sin^(-1)(s in 14) is -2 b. 8pi-26 c. 4pi...

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  8. If in a triangle A B C ,acos^2(C/2)ccos^2(A/2)=(3b)/2, then the sides ...

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  9. Evaluate the following: lim(xrarr0)(sin^2 3x sin5x)/(tan^2 5x tan (x/2...

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  10. Range of the function f(x)=tan^(-1)sqrt([x]+[-x])+sqrt(2-|x|)+1/(x^...

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  11. 4 people are selected randomly out of six married couple. Find the ...

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  12. Evaluate the following: lim(xrarr0)(sqrt(a+x)-sqrt(a-x))/x

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  13. If cos^(-1)(n)/(2pi)gt(2pi)/(3) then maximum and minimum values of int...

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  14. If omega be a complex cube root of unity, then the number (1-omega-om...

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  15. The mean deviation about median of variates 13, 14, 15,...., 99, 100 i...

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  16. Evaluate the following: (lim)(x -> -2)(3x^2+2x-8)/(x^3+8)

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  17. If z1& z1 represent adjacent vertices of a regular polygon on n sides...

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  18. The algebraic sum of deviations of 10 observations measured from 15 is...

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  19. If the letters of the word REGULATIONS be arranged at random, find ...

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  20. Let |z1|=|"z"2|="p"/2 then "|z1+z2|^2+|z1-z2|^2= a.p^2 b. (p^2)...

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