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Each question contains statements given in two columns which have to be matched. Statements (a,b,c,d) in column I have to be matched with statements (p,q,r,s) in column II. If the correct match are a-p, s, b-r c-p, q. and d-s, then the correctly bubbled `4x4` matrix should be as follows: figure Column I, a) If `int(2^x)/(sqrt(1-4^x))dx=ksin^(-1)(f(x))+C ,` then `k`is greater than, b) If `int((sqrt(x))^5)/((sqrt(x))^7+x^6)dx=aln(x^k)/(x^k+1)+c ,` then `a k`is less than, c) If `int(x^4+1)/(x(x^2+1)^2)dx=kln|x|+m/(1+x^2)+n ,` where `n`is the constant of integration, then `m k`is greater than, d) If `int(dx)/(5+4cosx)=ktan^(-1)(mt a n x/2)+C ,` then `k//m`is greater than, COLUMN II p) 0 q) 1 r) 3 s)4

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CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
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  2. Evaluate: lim(x->0)(log(5+x)-"log"(5-x))/x

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  3. Each question contains statements given in two columns which have to b...

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  4. Let P(n)=a^(P(n-1))-1,AA n=2,3,..., and let P(1)=a^(x)-1, where ainR^(...

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  5. Column I ([.] denotes the greatest integer function), Column II ""(...

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  6. Let f(x)={x+1,x >0, 2-x ,xlt=0 and g(x)={x+3,x<1,x^2-2x-2,1lt=x<2, ...

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  7. Evaluate: lim(x->oo) (x+7sinx)/(-2x+13)

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  8. Find the values of b for which the points (2b+3, b^(2)) lies above of ...

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  9. If f(x)={{:((x-|x|)/(x)","xne0),(2", "x=0):},show that underset(xt...

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  10. The reciprocal of the value of: lim(n->oo)(1-1/(2^2))(1-1/(3^2))(1-1/(...

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  11. Show that ("lim")(xrarr0) (e^(1/x)-1)/(e^(1/x)+1) does not exist

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  12. If f(x)={(x^2+2,,,xge2),(1-x ,,,xlt2):} ; g(x)={(2x,,,xgt1),(3-x ,,,...

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  13. Evaluate underset(xto2^(+))lim([x-2])/(log(x-2)), where [.] represents...

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  14. Find the value of the limit ("lim")(xto0) (((sqrt(a+x))-(sqrt(a-x)))/...

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  15. Evaluate underset(xto0)lim(sin[cosx])/(1+[cosx]) ([.] denotes the grea...

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  16. lim(x->0)((1^x+2^x+...........+n^x)/n)^(1/x) is equal to

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  17. Consider the following graph of the function y=f(x). Which of the foll...

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  18. If lim(xto0)(x^n-sinx^n)/(x-sin^n x) is non-zero finite, then n must b...

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  19. If underset(xtoa)lim[f(x)+g(x)]=2 and underset(xtoa)lim[f(x)-g(x)]=1, ...

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  20. Among (i) underset(xtooo)limsec^(-1)((x)/(sinx))" and "(ii) underset(x...

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