SOLUTION: find the limit: lim x approaches 3, 3 sqrt 2x^2 -10 Thank you (:

Algebra ->  Square-cubic-other-roots -> SOLUTION: find the limit: lim x approaches 3, 3 sqrt 2x^2 -10 Thank you (:       Log On


   

Question 1090936: find the limit:
lim x approaches 3, 3 sqrt 2x^2 -10
Thank you (:
Answer by ikleyn(52794) About Me  (Show Source):
You can put this solution on YOUR website!
.
find the limit:
lim x approaches 3, highlight%283%2Asqrt%282x%5E2-10%29%29
Thank you (:
~~~~~~~~~~~~~~~~~


Notice how I edited your input using parentheses 3*sqrt(2x^2-10) to make your formula readable . . . 

1.  The number 3 together with its neighborhood lies in the domain of the given function.


2.  In addition, the function  3%2Asqrt%282x%5E2-10%29 is continuous at the poin x= 3.


3.  Therefore, you can simply substitute the value x= 3 into the function to get its limit as x approaches 3:


    lim  3%2Asqrt%282x%5E2-10%29 = 3%2Asqrt%282%2A3%5E2-10%29 = 3%2Asqrt%282%2A9-10%29 = 3%2Asqrt%288%29 = 6%2Asqrt%282%29.
   x-->3

Solved.