Posted by soasi piutau on Monday, May 7, 2012 at 8:41am.
1) find the indicated limit, if it exist?
a) lim x>2 (x^2 9)/(x^2+x2)
b) lim x > ∞ √(ax^2+bx+c)/dx + e, where a > 0, b,c,d, and e are constant.

calculus  Steve, Monday, May 7, 2012 at 9:56am
a)
since you have (x3)(x+3) / (x1)(x+2) the numerator is nonzero when x = 2, the limit will be ±∞, depending on the direction of approach,
b)
I assume you meant √(ax^2+bx+c)/(dx+e) since otherwise it is boring. Divide top and bottom by x to get
√(a+b/x+c/x^2)/(d+e/x) = √a/d
however, the numerator is positive and the denominator is negative as x > ∞, so we really end up with √a/d
Answer This Question
Related Questions
 Calculus  Find the indicated limits. If the limit does not exist, so state, or ...
 Calculus  Find the indicated limits. If the limit does not exist, so state, or ...
 Calculus. Limits. Check my answers, please! :)  4. lim (tanx)= x>pi/3 (...
 Calculus  uu) lim ln(1x) as x>1 yy) lim (√(6x)2)/(√(3x)1...
 Math  Find the limit if it exists. lim 1/(x2) = infinity x→2+ lim 1/(x2...
 Calculus  A piecewise function is given. Use the function to find the indicated...
 calculus  A piecewise function is given. Use the function to find the indicated...
 Calculus  Find the following limits algebraically or explain why they don’t ...
 calculus  Find lim (with x¨‡ under it) (x^21)/x or state that the limit does...
 Math  Find the limit if it exists. lim 1/(x2) x→2+ lim 1/(x2) x→2...
More Related Questions