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Consider the following graph of the func...

Consider the following graph of the function y=f(x). Which of the following is//are correct?

`(a) underset(xto1)limf(x)` does not exist.
`(b) underset(xto2)limf(x)` does not exist.
`(c) underset(xto3)limf(x)=3.`
`(d) underset(xto1.99)limf(x)`exists.

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CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. Evaluate underset(xto0)lim(sin[cosx])/(1+[cosx]) ([.] denotes the grea...

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

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

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

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

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

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

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

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

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

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

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

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

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  16. underset(xtooo)lim{(x+5)tan^(-1)(x+5)-(x+1)tan^(-1)(x+1)} is equal to

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  17. If f(n)=underset(xto0)lim{(1+"sin"(x)/(2))(1+"sin"(x)/(2^(2)))...(1+"s...

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  18. If underset(xto-2^(-))lim(ae^(1//|x+2|)-1)/(2-e^(1//|x+2|))=underset(x...

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  19. The population of a country increases by 2% every year. If it increase...

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  20. Evaluate lim(xto-oo)[(x^(4)sin((1)/(x))+x^(2))/((1+|x|^(3)))].

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