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If f(x)=x sin(1/x), x!=0 then (lim)(x->0...

If `f(x)=x sin(1/x), x!=0` then `(lim)_(x->0)f(x)=`

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RD SHARMA ENGLISH-LIMITS-All Questions
  1. (lim)(n->oo)(1^2+2^2+3^2++n^2)/(n^3) is equal to a. 1 b . c. 1/3 d. 0

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  2. (lim)(x->0)(sin2x)/x is equal to a. 1 b . 1/2 c. 2 d. 0

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  3. If f(x)=x sin(1/x), x!=0 then (lim)(x->0)f(x)=

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  4. (lim)(x->0)(1-cos2x)/x is a. 1 b . 2 c. 4 d. 0

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  5. (lim)(x->0)x/(tanx) is a. 1 b . 0 c. 4 d. not defined

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  6. (lim)(x->oo)(sinx)/x equals a. 1 b . 0 c. oo d. does not exist

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  7. lim x→0 ( sin x ) / x is equal to a. 1 b . π c. x d. ...

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  8. (lim)(x->a)(x^n-a^n)/(x-a) is equal to a. n a^n b . n a^(n-1) c. n a d...

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  9. (lim)(x->oo)(sqrt(x^2-1))/(2x+1) is equal to a. 0 b . -1 c. 1//2 d. 1

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  10. Evaluate the limit: ("lim")(h->0)[1/(8+h)^(1/3)-1/(2h)]

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  11. (lim)(x->1)(sinpix)/(x-1) is equal to a. -pi b . pi c. -1/pi d. 1/pi

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  12. (lim)(x->0)(sqrt(1+x)-1)/x is equal to a. 1 b . 0 c. 2 d. 1/2

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  13. If f(x)={xsin(1/x) ,\ x!=0, then (lim)(x->0)f(x) equals a. 1 b . 0 c. ...

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  14. (lim)(n->oo)(n !)/((n+1)!+n !) is equal to a. 1 b . 0 c. 2 d. 1/2

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  15. lim x→π/4 (4sqrt(2)-(cosx+sinx)^5)/(1−sin2x) is equal to

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  16. (lim)(x->oo)a^xsin(b/(a^x)),\ a , b >1 is equal to a. b b . a c. a(log...

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  17. (lim)(theta->pi//2)(1-sintheta)/((pi//2-theta)costheta) is equal to ...

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  18. The value of (lim)(x->pi//2)(s e c x-t a n x) is a. 1 b . 0 c. 2 d. -1

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  19. The value of (lim)(x->oo)(n !)/((n+1)!-(n)!) is a. 1 b . -1 c. 0 d. no...

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  20. The value of (lim)(n->oo)((n+2)!+(n+1)!)/((n+2)!-(n+1)!) is a. 1 b . ...

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