Evaluate: `("lim")_(xveca)(logx-loga)/(x-a)`

Evaluate: ("lim")_(x->a)(logx-loga)/(x-a)

Evaluate: ("lim")_(xveca)("log"(x-a))/(log(e^x-e^a))

Evaluate: lim_(x->a)(logx-loga)/(x-a)

Evaluate lim_(xtoa) (logx-loga)/(x-a).

Evaluate lim_(xtoa) (logx-loga)/(x-a).

Evaluate lim_(xtoa) (logx-loga)/(x-a).

Evaluate: (lim)_(x->e)(logx-1)/(x-e)

Evaluate: lim_(xtoe)(logx-1)/(x-e)

If the graph of the function y=f(x) has a unique tangent at the point (a ,0) through which the graph passes, then evaluate ("lim")_(xveca)((log)_e{1+6f(x)})/(3f(x))

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