Lim xcscx x 0 cum se obține răspunsul?

Lim xcscx x 0 cum se obține răspunsul?
Anonim

Răspuns:

#lim_ (xrarr0) xcscx = 1 #

Explicaţie:

#lim_ (xrarr0) xcscx # #=#

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

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

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

sau

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

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

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