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

Evaluate: `lim_(x->pi/2)(cosx)^(cosx)`

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CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. Evaluate the limit: lim(x->oo)((x+2)/(x+1))^(x+3)

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

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

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  4. lim(x->0)(x^4(cot^4x-cot^2x+1)/(tan^4x-tan^2x+1)) is equal to (a) 1 (...

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

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  6. lim(x->oo)(1/e-x/(1+x))^x is equal to (a) e/(1-e) (b) 0 (c) e/(e^...

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  7. Evaluate: lim(x->0)(cosx)^(cotx)

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

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  9. Evaluate ("lim")(xto0)((sinx)/x)^(((sinx)/(x-sinx)))

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  10. lim(xtooo)((x^2+2x-1)/(2x^2-3x-2))^((2x+1)/(2x-1)) is equal to (a) 0 ...

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  11. Evaluate lim(xto0) ((1+x)^(1//x)-e+(1)/(2)ex)/(x^(2)).

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  12. If lim(x→0) ​ (x^asin^b x)/(sin(x^c)), where a , b , c in ...

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  13. Evaluate underset(xto0)lim(5sinx-7sin2x+3sin3x)/(x^(2)sinx).

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  14. ("lim")(x->oo){(x^3+1)/(x^2+1)-(a x+b)}=2,t h e n (a)a=1,b=1 (...

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  15. Evaluate underset(xtooo)lim(log(e)x)/(x)

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  16. The value of lim(x->1)(2-x)^(tan((pix)/2)) is (a)e^(-2/pi) (b) e^...

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  17. Evaluate the following limits using sandwich theorem: lim(x->oo)([x])...

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  18. lim(x->0) (sinx^n)/((sinx)^m),(mltn), is equal to (a) 1 (b) 0 (c) n...

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  19. If (x^(2)+x-2)/(x+3)le(f(x))/(x^(2))le(x^(2)+2x-1)/(x+3) holds for a c...

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  20. lim(x->oo)(2sqrt(x)+3root3x+4root4x+.......+nrootnx)/(sqrt((2x-3))+roo...

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