Indeterminate form 1^(∞)

Introduction of all indeterminate forms

Consider the following statements : S_1: lim_(x->0) [x]/x is an indeterminate form (where [:] denoet greatest integer function). S_2 : lim_(x->oo)sin(3^x)/3^x=0 and S_3 : lim_(x->oo) sqrt((x-sinx)/(x+cos^2x)) does not exist. S_4 : lim_(n->oo)((n + 2)! + (n+1)!)/(n+3)!) (n in N) =0 State, in order, whether S_1,S_2,S_3,S_4 are t(or false

Indeterminate Forms | Methods to Solve Limits

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 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)

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