`lim_(xrarr0)(1/x+5/(x(x-5)))=?`

lim_(xrarr0)x sec x

lim_( xrarr0) (1-cosx)/(x^(2))

lim_(xrarr0) (sin 3x)/x

lim_(xrarr0) x sec x

lim_(xrarr0)""(sin|x|)/(x)

Let f:R rarr R be a function satisfying Lim_(xrarr0^(+))f(x)=2 , Lim_(xrarr0^(-)) f(x)=3 and f(0)=4 The value of (Lim_(xrarr0) f(x^(3)-x^(2)))/(Lim_(xrarr0) f(2x^(4)-x^(5)))=

lim_(xrarr0)(sin(x)/(4))/(x)

lim_(xrarr0) ((x+1)^(5)-1)/(x)

Evaluate the following limits: lim_(xrarr0)((2^(x)-1)/(x))