Dastur

Questions (4)

 5 Prove that $\neg \exists x$ such that $\lvert x-1\rvert+\lvert x+1 \rvert <1$ [duplicate] 2 Prove that $\forall x\in\mathbb{R}$, such that $x>1$, $0<1+(x-1)\ln (1-\frac1x)<1$ 2 Substitutions in Modular Arithmetic 1 Prove that the function ${f(x)=1+(1-x){\ln(1-\frac{1}{x})} > 1}$, ${\forall x \in \mathbb{R}}$ such that $x>1$

Reputation (170)

 +2 find the orthogonal family of the family of curves for : ${(x^2+y^2)}^2=cy$ +25 Prove that $\neg \exists x$ such that $\lvert x-1\rvert+\lvert x+1 \rvert <1$ +10 Using the power rule instead of the reciprocal rule? +5 Prove that $\forall x\in\mathbb{R}$, such that $x>1$, $0<1+(x-1)\ln (1-\frac1x)<1$

 1 Using the power rule instead of the reciprocal rule?

Tags (9)

 1 calculus × 4 0 number-theory 1 derivatives × 2 0 discrete-mathematics 0 inequality × 3 0 absolute-value 0 limits 0 algebra-precalculus 0 modular-arithmetic

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