Infinite limit of a differentiable function

I think your argument is right. From a writing perspective, instead of using $a+1$ I would choose $b>a$ and the inequalities would look a little bit nicer; but I guess that's a matter of taste.

Tags:

Limits

Calculus

Derivatives

Real Analysis

Proof Verification

Related

Prove that these functions are linearly independent M and n are positive integers such that $2^n - 3^m > 0$. Prove (or disprove) that $2^n - 3^m \geqslant 2^{n-m}-1$. Proof of Theorem 7 (Chapter 5) in Hoffman and Kunze's *Linear Algebra* is unclear Generalizing a sequence. Polynomials such that they are integer valued except for some integer k? How many "super imaginary" numbers are there? New Year Maths 2018: $\color{green}{\binom ab+\binom bc+\binom cd}+\color{orange}{\binom de+\binom ef+\binom fg+\binom gh}=\color{red}{2018}$ Integral of the function $ (1+|x|^2)^{-k}$ Gaps between numbers on the real number line Why does $\lvert x^2 \rvert < 16$ imply $\lvert x \rvert < 4$? $55$ gangsters shoot the nearest gangster to them, where all the distances between them are different. Prove that at least one gangster will survive. Permutations of the set $\{1, 2, 3, 4, 5\}$ fulfilling certain conditions - Combinations Theory

Recent Posts