Evaluate: `underset(x rarr 0)(lim)(e^(sinx)-1)/(x)`

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

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

Evaluate underset(x rarr 0 ) ("lim") [ ( sin^(-1) x )/( x ) ] ( where [ ** ] denotes the greatest integer function ) .

Evaluate underset( x rarr0 ) ( "Lim")( e^(x) - e^(-x)-2x)/( x - sin x )

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

Evaluate underset( x rarr0 ) ( "Lim") ( 3 sin x - sin 3x)/( x- sin x )

Check given limits is in indeterminate form or not? Also indicate the form underset( x rarr 0 ) ("lim" ) ( sinx)^(x)

Evaluate : underset( x rarr0 ) ("lim") ( sqrt( ( 1+sin 3x))-1)/(ln ( 1+ tan 2x))

Check given limit is in indeterminate form or not? Also indicate the form underset(x rarr 0 ) ("lim") (1)/( x)