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If f(x)={(x^2+2,,,xge2),(1-x ,,,xlt2):} ...

If `f(x)={(x^2+2,,,xge2),(1-x ,,,xlt2):}` ; `g(x)={(2x,,,xgt1),(3-x ,,,xle1):}` then the value of `lim_(x->1) f(g(x))` is

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CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. The reciprocal of the value of: lim(n->oo)(1-1/(2^2))(1-1/(3^2))(1-1/(...

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

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

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

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

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

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

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

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

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

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

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  12. Evaluate lim(x->0)(3x+|x|)/(7x-5|x|)

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  13. The value of lim(x->0)(1+sinx-cosx+"log"(1-x))/(x^3) is (a)1/2 ...

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  14. f(x)={x ,xlt=0 1,x=0,t h e nfin d("lim")(xvec0)f(x)x^2,x >0ife xi s t ...

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  15. underset(xtooo)lim(e^(1//x^(2))-1)/(2tan^(-1)(x^(2))-pi) is equal to

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  16. Evaluate: lim(x->oo) (1+1/(a+bx))^(c+dx) , where a,b,c and dare positi...

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  17. If x1=3 and x(n+1)=sqrt(2+xn),ngeq1,t h e n""("lim")(xrarroo)xn is (...

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  18. Evaluate: ("lim")(xtooo) (1+1/x)^x

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  19. lim(x->0)("cos"(tanx)-cosx)/(x^4)i se q u a lto 1/6 (b) -1/3 (c) 1/...

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  20. Evaluate: ("lim")(xrarr0)((a^x+b^x+c^x)/3)^(2/x);(a , b , c >0)

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