Limits of 1^(infinity) indeterminate form

Indeterminate form 1^(∞)

Check given limits is in indeterminate forms or not?. Also indicate the form underset(x rarr 0 ) ("lim") ( 1+ sin x) ^((1)/( x))

Which of the following limits are in indeterminate forms. Also indicate the form underset( x rarr 0 ) ( "lim") ( 1) ^((1)/( x))

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

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

Limits at Infinity

Indeterminate species

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

Check given limit is in indeterminate form or not? Also indicate the form underset(x rarr 0 ) ( "lim" ) ((1)/( x) - (1)/( x^(2)))

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