math help please?

2020-10-06 5:43 pm
Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is infinite, enter '∞' or '-∞', as appropriate. If the limit does not otherwise exist, enter DNE.)
lim x→10 
 7x^2 − 70x/x^2 − 100

回答 (3)

2020-10-06 6:53 pm
Please read the following answer:
2020-10-06 7:51 pm
lim (7x^2 - 70x)/(x^2 - 100) =
x-> 10
lim 7x(x - 10)/((x + 10)(x - 10)) =
x-> 10
lim 7x/(x + 10) = 70/20 = 7/2
x-> 10
2020-10-06 5:50 pm
How hard is it - for a calculus student no less - to recall that parentheses are necessary when you want addition to take precedence over division?
You need to factor the top and the bottom expression and cancel x - 10


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