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underset(xrarr0)(lim)(1)/(x^(2))|(1-cos3...

`underset(xrarr0)(lim)(1)/(x^(2))|(1-cos3x,log_(e)(1+4x)),(sin^(-1)(x^(x)-),tan^(-1)(2x))|` is equal to

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underset(xrarr0)(lim)(1)/(x^(2))|(1-cos3x,log_(e)(1+4x)),(sin^(-1)(e^(x)-1),tan^(-1)(2x))|

underset(xrarr0)"lim"(e^(3x)-1)/(x) =

underset(xrarr0)"lim"(a^(2x)-1)/(x) =

underset(xrarr0)"lim"(log(1+4x))/(x) =

underset(xrarr 0)"lim"(sin^(-1)x)/(x) =

underset(xrarr0)"lim"(sinx(1-cosx))/(x^(3))

Evaluate underset(xrarr0)(lim)(e^x-1-x)/x^2

Evaluate : underset(xrarr0)"lim"(1)/(x) .

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CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. underset(xrarr(-1)/(3))(lim)(1)/(x)[(-1)/(x)]= (where [.] denotes the ...

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  2. (lim)(xvecoo)x^2sin((log)esqrt(cospi/x)) a. 0 b. (pi^2)/2 c. (pi^2...

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  3. underset(xrarr0)(lim)(1)/(x^(2))|(1-cos3x,log(e)(1+4x)),(sin^(-1)(x^(x...

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  4. If graph of the function y=f(x) is continuous and passes through point...

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  5. lim(x->oo)[x-loge((e^x+e^(-x))/2)]= a)(log)e4 b. 0 c. oo d. (log)e...

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  6. The value of lim(x->0)(1+sinx-cosx+"log"(1-x))/(x^3) is (a)1/2 ...

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  7. If underset(xrarroo)(lim)((x+c)/(x-c))^(x)=4 then the value of e^(c) i...

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

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  9. If lim(x->0)[1+x+(f(x))/x]^(1/x)=e^3, then find the value of 1n(lim(x-...

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  10. Let f(x) be the fourth degree polynomial such that f^(prime)(0)-6,f(0)...

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  11. Let f(x) be the fourth degree polynomial such that f^(prime)(0)-6,f(0)...

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  12. (lim)(x->0)((sqrt(1+xsin x)-sqrt(cos2x))/(tan^2(x//2))) is equal to 1/...

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  13. The value of underset(xrarroo)(lim)x^(2)(1-cos.(1)/(x)) is

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

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

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

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

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

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  20. The value of lim(x->3)((x^3+27)(log)e(x-2))/(x^2-9) is a. 9 b. 18 c....

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