Lim xcscx x →0 how to get the answer ?

1 Answer
May 7, 2018

#lim_(xrarr0)xcscx=1#

Explanation:

#lim_(xrarr0)xcscx# #=#

#lim_(xrarr0)x/sinx# #=_(x!=0)^(x->0)#

#lim_(xrarr0)(x/x)/(sinx/x)# #=#

#lim_(xrarr0)1/cancel(sinx/x)^1# #=1#

or

#lim_(xrarr0)x/sinx# #=_(DLH)^((0/0))#

#lim_(xrarr0)((x)')/((sinx)')# #=#

#lim_(xrarr0)1/cosx# #=1#