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("lim")(xvec0)(x^asin^b x)/(sin(x^c)), w...

`("lim")_(xvec0)(x^asin^b x)/(sin(x^c))`, where a , b , c in R ~{0},exists and has non-zero value. Then, `a+c` = (a) b (b) `-1` `0` (d) none of these

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CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. lim(xvecoo)((x^2+2x-1)/(2x^2-3x-2))^((2x+1)/(2x-1)) is equal to (a)...

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

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

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

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  5. ("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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  6. Evaluate the following limits using sandwich theorem: ("lim")(xvecoo)(...

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

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

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

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

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

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

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  14. Evaluate : ("lim")(xrarroo) 1/(1+n^2)+2/(2+n^2)+...+n/(n+n^2)

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  15. If L=lim(x-&gt;2) ((10-x)^(1/3) -2)/(x-2), then the value of |1/(4L)| ...

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  16. Suppose that f is a function such that 2x^2lt=f(x)lt=x(x^2+1) for all ...

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  17. If L=lim(x->0)(e^(-(x^2/2))-cosx)/(x^3 sinx), then the value of 1/(3L)...

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  18. If [dot] denotes the greatest integer function, then find the value of...

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  19. If lim(x->oo) f(x) exists and is finite and nonzero and if lim(x->oo)...

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  20. If 3-((x^2)/(12))lt=f(x)lt=3+((x^3)/9) for all x!=0, then find the val...

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