Posted by cara on Wednesday, September 2, 2009 at 2:51pm.
how would I do this limit?(by the way
-> is an arrow(
lim x-> 0 (5x^3+8x^2)/ (3x^4 - 16x^2)
- math - MathMate, Wednesday, September 2, 2009 at 3:22pm
When both the numerator and denominator evaluate to zero or infinity, the limit can be found by applying the d'h√īpital rule.
The rule states that if the limit of a division is indeterminate, the limit of the derivatives of the numerator and the denominator will equal the limit in question. The rule can be applied successively until either the denominator becomes defined and non-zero.
For the case in point,
denominator=f2(x)=(3x^4 - 16x^2)
Since f2(0)=0, we need to find the derivative
Again f21(0)=0, so we find the derivative
Now we have to evaluate
Therefore the limit x→0
(5x^3+8x^2)/ (3x^4 - 16x^2)
Answer This Question
More Related Questions
- calc - Use LíHopitalís rule to find the limit of this sequence (n^100)/(e^n) ......
- Calculus. Limits. Check my answers, please! :) - 4. lim (tanx)= x->pi/3 -(...
- math - how do I solve this limit (-> is an arrow meaning "heading towards" ...
- calc - need to find: lim as x -> 0 of 4(e^2x - 1) / (e^x -1) Try splitting ...
- math - how do i find the limit of this? (This symbol:-> is an arrow) lim of x...
- math - the limit of cuberoot((-3x^3+5x+2)/(x^2-1)) as x approaches 3 is the ...
- college math - Use a table to frind the indicated limit. 3 7. lim(4x ) x-2 2 8. ...
- Calculus - Find the limit. lim 5-x/(x^2-25) x-->5 Here is the work I have so ...
- Calc Limits - lim (1+x)^1/x. Give an exact answer. x->0 This reads: The ...
- MATH - Calculus (2) - if lim f(x) = a^3 x->a and if lim g(x) = a^2 x->a ...