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Evaluate the limits using the expansion formula of functions `("lim")_(xvec0){(sinx-x+(x^3)/6)/(x^5)}`

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  5. Evaluate the limits using the expansion formula of functions lim(x->0)...

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  6. 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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  8. The value of ("lim")(n->oo)[(n+1)^2 3-(n-1)^2 3] is

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  9. Evaluate : ("lim")(xvec2)(x^2-5x+6)/(x^2-4)

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  10. If: ("lim")(xrarr1)(1+a x+b x^2)^(c/((x-1)))=e^3, then the value of b ...

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  11. Evaluate : ("lim")(xvec1)(2/(1-x^2)+1/(x-1))

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  12. ("lim")(xvec0)((1+5x^2)/(1+3x^2))^1//x^2=

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  13. Evaluate : ("lim")(xto1)(x^2+x(log)e x-(log)e x-1)/((x^2-1)

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  14. If L=("lim")(nvecoo)(2x3^2x2^3x3^4 x2^(n-1)x3^n)^1/((n^(2+1)) , then t...

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  15. Evaluate ("lim")(xvecpi/4)(1-sin2x)/(1+cos4x)

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  16. The value of lim(x->oo)((log)e((log)e x)/(e^(sqrt(x)))i s

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  17. Evaluate : ("lim")(xvecpi/4)(1-cot^3x)/(2-cotx-cot^3x)

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  18. lim(y->0)((x+y)sec(x+y)-xsecx)/y is equal to (a) secx(xtanx+1) (b) x...

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  19. Evaluate ("lim")(xrarr0)(sqrt(2+x)-sqrt(2))/x

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  20. The value of lim(m->oo)(cos(x/m))^("m") is 1 (b) e (c) e^(-1) (...

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