IF Lim x-- o( x-3sin3x + ax-2+ b) exists and is equal to 0,then what are the values of - Maths - Limits and Derivatives

Question

IF Lim​ x--> o( x-3sin3x +
ax-2+ b) exists and is equal to 0,then what are the
values of a and b ?

Prince Rathore · Answer

I solve it like this for a finite limit
<img src=
"https://s3mn%20mnimgs%20com/img/shared/content_ck_images/ck_5b8b77a82d7e4%20jpeg">

IF Lim​ x--> o( x-3sin3x + ax-2+ b) exists and is equal to 0,then what are the values of a and b ?