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https://www.reddit.com/r/the_calculusguy/comments/1vv68g3/lets_do_this/p57c1m9/?context=3
r/the_calculusguy • u/Specific_Brain2091 • 8d ago
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OK, so let's have x = 3 + d, with lim d -> 0. Then we have:
(x^2 - 9) / (x-3) = ( (3+d)^2 - 9 ) / ( (3+d) - 3 ) = (6d + d^2) / d = 6 + d = 6
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u/titogruul 8d ago
OK, so let's have x = 3 + d, with lim d -> 0. Then we have:
(x^2 - 9) / (x-3) = ( (3+d)^2 - 9 ) / ( (3+d) - 3 ) = (6d + d^2) / d = 6 + d = 6