Вычисление некоторых типов пределов

Limit[(Log[1+x])/x,x->0]

Limit[(a^x-1)/x,x->0]

Limit[((1+x)^n-1)/x,x->0]

Решение задач

Limit[(Log[1+2x])/Sin[x],x->0]

Limit[(Log[Cos[2x]])/ArcTan[x^2],x->0]

Limit[(Log[2x+5]-Log[2x+3])/ArcSin[1/x],x->+Infinity]

Limit[(Exp[2x]-Exp[x])/x,x->0]

Limit[(Exp[x^2]-1)/(1-Cos[x]),x->0]

Limit[((x+1)/(x+2))^(x+3),x->Infinity]

Limit[(1+Sin[x])^(1/ArcTan[x]),x->0]

Limit[((1+6x)^(1/3)-(1+5x)^(1/5))/x,x->0]

Limit[Sqrt[x](Sqrt[x+3]-Sqrt[x+2]),x->+Infinity]