Method

If anything goes well, it indeed has a general model for you guys getting limitation from a limit equation.

if an equation is a fraction:
    if fraction + or - a fraction:
        reduce fractions into one fraction by setting a common denominator
    if the equation has a radical sign:
        get rid of it by rationalizing.
    if put giving_x into equation getting "0/0":
        do factorization, get rid of one factor which makes equation looks like "0/0"
if the equation is not a fraction: # combined with simple +-x/
    put giving_x in equation directly

Example


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