3. (10 marks) Find the limit and prove it using the definition. 4x2 + 13 lim...
3. (10 marks) Find the limit and prove it using the definition. 4x2 + 13 lim x+ x2 + x + 1 4. (10 marks) Find the limit and prove it using the definition. 4x3 + 13 lim *40x2 + x + 1
4. (10 marks) Find the limit and prove it using the definition. 4x3 + 13 lim x70x2 + x +1
3. (10 marks) Find the limit and prove it using the definition. 3x2 + 5 lim x=0x2 + x + 1
3) Find the limit and prove it using definition lim 4x² + 13 x 70 x² + xt I
(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 -...
can u please solve question 4 4. (10 marks) Find the limit and prove it using the definition. 4x + 13 lim x x²+x+1 sin x if x = 0 if x=0 is differe х 5. (10 marks) Check whether f(x) = proof.
definition of limit to prove that lim ,-e3. 3, (a) Use the - (b) Suppose lim g(z) 0 and if(x)| |g(z)| for all z E R. Use the ε-δ definition of limit to prove that lim f(x)=0 definition of limit to prove that lim ,-e3. 3, (a) Use the - (b) Suppose lim g(z) 0 and if(x)| |g(z)| for all z E R. Use the ε-δ definition of limit to prove that lim f(x)=0
3) Complete the following to prove lim (4x – 3)= 5 using the epsilon-delta definition of a limit. x2 Part 1: Analysis (i.e. "guess” a 8) For every we need to if then (Complete these steps as you want in order to find delta.) This suggests that we should choose Part 2: Proof: (show that this choice of satisfies the definition of a limit). Given choose If then Thus, if , then Therefore, by Q.E.D.
Х 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. Enable Editing X 3. (10 marks) Find the limit and prove it using the definition. 4x2 + 13 lim x600 x2 + x + 1 4. (10 marks) Find the limit and prove it using the definition. 4x3 + 13 lim x00x2 + x + 1 sin x 5. (10 marks) Check whether f(x) = if...
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 –...