# user33640

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A man may imagine things that are false, but he can only understand things that are true, for if the things be false, the apprehension of them is not understanding. Isaac Newton

# 76 Questions

 11 Find the determinant of $A$ satisfying $A^{-1}=I-2A.$ 5 $f\colon \Bbb R^3 \to \Bbb R^3$ be defined by $f(x_1,x_2,x_3)=…$ 5 Let $\displaystyle f$ be differentiable, $\displaystyle f(x)=0$ for $|x| \geq 10$ and $g(x)=\sum_{k \in \mathbb Z}f(x+k).$ 5 Find $\lim \limits_{n \to \infty}(n^5+4n^3)^{1/5}-n$ 5 Find the value of : $\lim_{n\to\infty}[(n+1)\int_{0}^{1}x^{n}\ln(1+x)dx]$.

# 1,094 Reputation

 +15 Problem involving the computation of the following integral +5 $A$ be a $n \times n$ matrix with $\text{rank}\,(A)\lt n$: multiple choice question +2 Positive series problem +5 Let $\displaystyle f$ be a continuous function from $[0,4]$ to $[3,9].$

 5 Solve the following homogeneous differential equation 3 Trouble with factorising a polynomial 0 $u_n=\frac {1}{1\cdot n}+\frac {1}{2(n-1)}+\ldots+\frac {1} {n \cdot 1}$,then $\lim u_n=?$

# 36 Tags

 5 differential-equations × 5 0 linear-algebra × 16 3 factoring 0 complex-analysis × 12 3 partial-fractions 0 analysis × 5 3 polynomials 0 pde × 5 0 real-analysis × 25 0 continuity × 5

# 1 Account

 Mathematics 1,094 rep 216