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lim x→(2^+) { x } sin( x−...

`lim x→(2^+) { x } sin( x−2 ) /( x−2)^2 =` (where [.] denotes the fractional part function) a. 0 b. 2 c. 1 d. does not exist

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CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. The value of underset(xrarroo)(lim)x^(2)(1-cos.(1)/(x)) is

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  2. lim(x->0) (Cosx -1)/x is equal to

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  3. lim x→(2^+) { x } sin( x−2 ) /( x−2)^2 ...

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  4. The value of (lim)x->0(sqrt(1-cos"x"^2))/(1-cosx) is a.1/2 b. 2 c. s...

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  5. If f(x)=underset(nrarroo)(lim)((x^(2)+ax+1)+x^(2n)(2x^(2)+x+b))/(1+x^(...

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  6. lim(x->0)(e^(5x) - 1)/(3x)

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  7. lim(x->(pi/2)) (1-sinx)tanx =

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  8. The value of (lim)(xvec3)((x^3+27)(log)e(x-2))/(x^2-9) is a. 9 b. 1...

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  9. If (lim)(xvec0)(e^(a x)-e^x-x)/(x^2)=b (finite), then a=2,b=0 b. a=0,b...

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  10. If underset(xrarr0)(lim)(x^3)/(sqrt(a+x)(bx-sinx))=1,agt0, then a+b is...

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  11. underset(xrarr0)(lim)[(sin^(-1)x)/(tan^(-1)x)]= (where [.] denotes the...

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  12. The value of lim(x->pi/4) (sqrt(1-sqrt(sin2x)))/(pi-4x) is

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  13. lim(x->0) (sin x /x)

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  14. If f(x)=x((e^(|x|+[x])-2)/(|x|+[x])) then (where [.] represents the gr...

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  15. If A=underset(xrarr0)(lim)(sin^(-1)(sinx))/(cos^(-1)(cosx))and B=under...

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  16. Let f(x)=lim(m->oo){lim(n->oo)cos^(2m)(n !pix)}, where x in Rdot Then...

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  17. lim(x->oo ){(e^x+pi^x)^(1/x)}= where {.} denotes the fractional par...

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  18. Let f(x)=(lim)(xvecoo)(tan^(-1)(tanx))/(1+((log)e x)^n),x!=(2n+1)pi/2 ...

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  19. Assume that underset(thetararr-1)(lim)f(theta) exists and (theta^(2)+t...

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  20. lim(n->oo) ((sqrt(n^2+n)-1)/n)^(2sqrt(n^2+n)-1)

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