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("lim")(xrarroo)(1/e-x/(1+x))^x is equal...

`("lim")_(xrarroo)(1/e-x/(1+x))^x` is equal to (a) `e/(1-e)` (b) 0 (c) `e/(e^(1-e))` (d) does not exist

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CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
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  2. Evaluate: ("lim")(x->0)(1+x)^(cos e cx )

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

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

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

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  7. lim(xvecoo)((x^2+2x-1)/(2x^2-3x-2))^((2x+1)/(2x-1)) is equal to (a)...

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  8. Evaluate: ("lim")(xvec0) ((1+x)^(1/x)-e+1/2e x)/(x^2)

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  9. ("lim")(xvec0)(x^asin^b x)/(sin(x^c)), where a , b , c in R ~{0},exis...

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  10. ("lim")(xvec0)(5sinx-7sin2x+3sin3x)/(x^2sinx)

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

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

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  16. If (x^2+x−2)/(x+3) <= (f(x))/x^2 <= (x^2+2x−1)/(x+3) hold for a certai...

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

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  18. Let f:(1,2)vecR satisfies the inequality (cos(2x-4)-33)/2ltf(x)lt(x^2|...

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  19. ("lim")(xvec0)((x+y)sec(x+y)-xsecx)/yi se q u a lto secx(xtanx+1) (b...

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