Check whether f(x)= sinx/x if x≠0 and f(x) = 1 if x=0 is differentiable at x=0. Prove it using an ε-δ proof.
Check whether f(x)= sinx/x if x≠0 and f(x) = 1 if x=0 is differentiable at x=0. Prove it...
(10 marks) Check whether f(x) = sinx x if x0 if x = 0 is differentiable at *-0. Prove it using an e-8 proof.
sinx 5. (10 marks) Check whether f (x) = if x = 0 if x = 0 is differentiable at x-0. Prove it using an e- 8 proof. sinx 5. (10 marks) Check whether f (x) = if x = 0 if x = 0 is differentiable at x-0. Prove it using an e- 8 proof.
sinx 5. (10 marks) Check whether f(x) = if x 70 if x = 0 is differentiable at x=0. Prove it using an e-8 proof.
☺ Chee Check who whether f(x) = { sinx fx to it differentiable at Pool r = 0 x & proof
sin x 5. (10 marks) Check whether f(x) = х if x = 0 if x = 0 is differentiable at x=0. Prove it using an ε - 8 1 proof.
sin 5. (10 marks) Check whether f(x) = if x = 0 if x=0 is differentiable at x=0. Prove it using an 8 - 8 proof
5) Check whether f(t)= { Х Bing if x=0 el if x=0 differentiable at x = 0 it teling prove an E-8 proof
(10 marks) Prove that fx=6ln(x-11) is not uniformly continuous on (0,∞) Х Enable Editing X i PROTECTED VIEW Be careful—files from the Internet can contain viruses. Unless you need to edit, it's safer to stay in Protected View. LAAM Yuuuus = (x2-x-2 1. (10 marks) Let f(x) (x2-4) if x # +2 с if x = 2 Find c that would make f continuous at 1. For such c, prove that f is continuous at 1 using an ε -...
Let U be an open subset of R. Let f: U C Rn → Rm. (a) Prove that f is continuously differentiable if and only if for each a є U, for each E > 0, there exists δ > 0 such that for each x E U, if IIx-all < δ, then llDf(x)-Df(a) ll < ε. (b) Let m n. Prove that if f is continuously differentiable, a E U, and Df (a) is invertible, then there exists δ...
Х Enable Editing X i PROTECTED VIEW Be careful—files from the Internet can contain viruses. Unless you need to edit, it's safer to stay in Protected View. LAAM Yuuuus = (x2-x-2 1. (10 marks) Let f(x) (x2-4) if x # +2 с if x = 2 Find c that would make f continuous at 1. For such c, prove that f is continuous at 1 using an ε - 8 proof. 2. (10 marks) Prove that f(x) 6 ln(x –...