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If `x_1=3` and `x_(n+1)=sqrt(2+x_n),ngeq1,t h e n""("lim")_(xrarroo)x_n` is (a) `-1` (b) `2` (c) `sqrt(5)` (d) 3

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CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. lim(xvecoo)(e^(1/x^2)-1)/(2tan^-1(x^2)-pi) is equal to (a) 1 (b) -...

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

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

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

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

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

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

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

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  9. If lim(x->2^-) (ae^(1/|x+2|)-1)/(2-e^(1/(|x+2|)))= lim(x->2^+)sin ((x^...

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

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  11. lim(x->o)[(x^4sin(1/x)+x^2)/(1+|x|^3)]=

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  12. Evaluate the limit: ("lim")(xvecoo)((x+2)/(x+1))^(x+3)

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  13. ABC is an isosceles triangle inscribed in a circle of radius rdot If A...

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  14. Evaluate: ("lim")(x->pi/2)(cosx)^(cosx)

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  15. ("lim")(x to 0)(x^4((cot^4x-cot^2x+1)/(tan^4x-tan^2x+1)))"is equals t...

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  16. Evaluate: ("lim")(x->0)(1+x)^(cos e cx )

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  17. ("lim")(xrarroo)(1/e-x/(1+x))^x is equal to (a) e/(1-e) (b) 0...

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  18. Evaluate: ("lim")(xrarr0)(cosx)^(cotx)

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  19. lim(x->1)(1-x^2)/(sin2pix) is equal to (a)1/(2pi) (b) -1/pi (c)...

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  20. Evaluate ("lim")(xvec0)((sinx)/x)^(((sinx)/(x-sinx)))

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