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" The equation "x^(x)rarr(x+1)y^(4)+(-1)...

" The equation "x^(x)rarr_(x+1)y^(4)+_(-1)e^(0)+bar(v)" is "

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The equation ._(Z)X^(A) rarr ._(Z+1)Y^(A)+._(-1)e^(0)+bar(v) represents

lim_(x rarr0)((1+x)^(4)-1)/(x)

lim_(x rarr0)((1+x)^(4)-1)/(x)

lim_(x rarr0)(1+x)^((1)/(x))=e

Evaluate: lim_(x rarr 0)(e^(4x)-1)/(x)

[" If "lim_(x rarr0)(1(x))/(x^(2))=3" and "lim_(x rarr0)(g(x))/(1-cos2x)=(1)/(4)," then the value of "lim_(x rarr0)(1+f(x))^((1)/(9(x)))" is equal to "],[[" (A) "e^((3)/(2))," (6) "],[" (B) ",6],[" (C) "e^(24)," e "],[" (D) "," e "]]

The value of lim_(x rarr 0) ((e^(x)-1)/x)

lim_(x rarr 0) (e^(1/x)-1)/(e^(1/x)+1) =

lim_(x rarr0)((e^(x)-x-1)/(x))