query: l'Hopital rule on $\mathbb{C}$
positive_passages.docid: 86984
positive_passages.text: Is L'Hopitals rule applicable to complex functions?
negative_passages.docid: 60685
negative_passages.text: The vector space formed on C[0,1] and the norm $(\int_{0}^{1}|f(t)|^2 dt)^{1/2} $
negative_passages.docid: 84189
negative_passages.text: Is $\mathbb{C}$ equal to $\mathbb{R}^2$?
negative_passages.docid: 3966
negative_passages.text: Are all limits solvable without L'Hôpital Rule or Series Expansion
negative_passages.docid: 45555
negative_passages.text: $(x+y)^c\le x^c+y^c$ for $0<c\le1$
negative_passages.docid: 143354
negative_passages.text: Prove that there exists $c\in\mathbb{R}$ such that $f'(c)=f(c)$
negative_passages.docid: 109610
negative_passages.text: Is $\mathbb{R}[X]/(P)$ isomorphic to $\mathbb C$ for every irreducible polynomial $P$ of degree $2?$
negative_passages.docid: 128381
negative_passages.text: Branches of $\log(z)$ on $\mathbb{C}\backslash(-\infty,0]$?
negative_passages.docid: 93806
negative_passages.text: $\|f\|_{L^{p}}=\sup\left\{\int_{{\bf R}^{n}}|f(x)g(x)|~dx:\|g\|_{L^{q}}\le1\right\}$
negative_passages.docid: 113141
negative_passages.text: Prove that $\lim_{n \to \infty}\bigg[\int_0^1f(t)^n \text{dt}\bigg]^{1/n}=M$
negative_passages.docid: 94469
negative_passages.text: How to prove that $|HK| = \dfrac{|H| \; |K|}{|H \cap K|}$?
negative_passages.docid: 30178
negative_passages.text: Homeomorphism $(\mathbb{CP}^1)^m/S_m \overset{\sim}{\to} \mathbb{CP}^m$?
negative_passages.docid: 63446
negative_passages.text: The existence of analytical branch of the logarithm of a holomorphic function
negative_passages.docid: 68070
negative_passages.text: L'Hospital's rule for $\lim_{n\rightarrow \infty} (a^n + b^n)^\frac{1}{n}$.
negative_passages.docid: 86717
negative_passages.text: Completeness of $\langle \mathscr{C} [0, 1], \| \cdot \|_1 \rangle$
negative_passages.docid: 90273
negative_passages.text: Primitive roots of the unity in $\mathbb C$
negative_passages.docid: 100642
negative_passages.text: Proof of the L'Hôpital Rule for $\frac{\infty}{\infty}$