Can’t seem to figure it out.. tried just rewriting dividing also tried squeeze theorem but not getting anywhere.. help is greatly appreciated!
#How do I find this limit?
gleaming path
halcyon pulsarBOT
lilac path
Can’t seem to figure it out.. tried just rewriting dividing also tried squeeze t...
This will behave like [\frac{x \cos(x^2) + 3x \sqrt{-4x}}{\sqrt[4]{x^6}}] for very small $x$. That simplifies to [\frac{\cos(x^2) + 6 \sqrt{-x}}{\sqrt{|x|}},] which behaves like [\frac{6\sqrt{-x}}{\sqrt{|x|}},] which for $x < 0$ becomes [\frac{6\sqrt{-x}}{\sqrt{-x}},] and so the limit is $6$.
gleaming path
Aha I understand what you’re doing, I’ve tried similar things. But the answer seems to be -6 and not 6. So im wondering whats still different.. 🧐