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Evaluate : ("lim")(xrarr2^+) ([x-2])/("...

Evaluate : `("lim")_(xrarr2^+)` `([x-2])/("log"(x-2))` , where [.] represents the greatest integer function.

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CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
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  2. If f(x)={(x^2+2,,,xge2),(1-x ,,,xlt2):} ; g(x)={(2x,,,xgt1),(3-x ,,,...

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  3. Evaluate : ("lim")(xrarr2^+) ([x-2])/("log"(x-2)) , where [.] repres...

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  4. The value of the limit ("lim")(xvec0)(a^(sqrt(x))-a^(1sqrt(x)))/(a^(sq...

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  5. Evaluate: ("lim")(xrarr0) (sin[cosx])/(1+[cosx])([dot] denotes the g...

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

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  7. Consider the following graph of the function y=f(x)dot Which of the fo...

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  8. If lim(x->0)(x^n-sinx^n)/(x-sin^n x) is non-zero finite, then n must b...

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  9. If ("lim")(x->a)[f(x)+g(x)]=2a n d ("lim")(x->a)[f(x)-g(x)]=1, then f...

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

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

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

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  13. lim(xvecoo)(e^(1/x^2)-1)/(2tan^-1(x^2)-pi) is equal to (a) 1 (b) -...

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

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

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  16. Evaluate: ("lim")(xrarroo)(1+1/x)^x

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  17. ("lim")(xvec0)("cos"(tanx)-cosx)/(x^4)i se q u a lto 1/6 (b) -1/3 (...

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

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  19. ("lim")(xvecoo)"{"x+5")"tan^(-1)(x+5)-(x+1)tan^(-1)(x+1)} is equal to ...

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

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