Question

Prove that lim x^2 = c^2 as x approaches c by appealing directly to the definition...

Prove that lim x^2 = c^2 as x approaches c by appealing directly to the definition of a limit.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Prove directly from the definition of the limit (b) lim (n−2)/(n+12)=1 c) lim n√8 = 1....
Prove directly from the definition of the limit (b) lim (n−2)/(n+12)=1 c) lim n√8 = 1. (Hint: recall the formula for x^n − 1).
Use the formal definition of limit (epsilon-delta definition) to prove that lim x--> 3 (x^2 +...
Use the formal definition of limit (epsilon-delta definition) to prove that lim x--> 3 (x^2 + 5x) = 24.
prove the statement using the epsilon delta definition of a limit lim x-->2 (x^2-2x+7)=1
prove the statement using the epsilon delta definition of a limit lim x-->2 (x^2-2x+7)=1
Estimate the lim as f(x) approaches -infinity by graphing f(x)=sqrt{x^{2}+x+9}+x   (b) Use a table of values...
Estimate the lim as f(x) approaches -infinity by graphing f(x)=sqrt{x^{2}+x+9}+x   (b) Use a table of values of f(x) to guess the value of the limit. (Round your answer to one decimal place.) (c) Prove that your guess is correct by evaluating lim x→−∞ f(x).
Prove that lim n^k*x^n=0 as n approaches +infinity. Where -1<x<1 and k is in N.
Prove that lim n^k*x^n=0 as n approaches +infinity. Where -1<x<1 and k is in N.
prove limit 2x^2-x-5=1as x approaches 2 using epislon/delta
prove limit 2x^2-x-5=1as x approaches 2 using epislon/delta
Prove that if (xn) is a sequence of real numbers, then lim sup|xn| = 0 as...
Prove that if (xn) is a sequence of real numbers, then lim sup|xn| = 0 as n approaches infinity. if and only if the limit of (xN) exists and xn approaches 0.
1. if limit X approaches to 2 from the negative side then evaluate the equation X-10/X-2...
1. if limit X approaches to 2 from the negative side then evaluate the equation X-10/X-2 2. If limit X approaches to 3 from the positive site then evaluate the equation X-11/X-3 3.Evaluate the following equation if limit X approaches to infinity -11X^2+4X-4/8X-8 4. Evaluate the following equation if lim X approaches to negative infinity -3X^2-9X+9/9X-6
Using the definition of convergence of a sequence, prove that the sequence converges to the proposed...
Using the definition of convergence of a sequence, prove that the sequence converges to the proposed limit. lim (as n goes to infinity) 1/(n^2) = 0
prove directly by definition that [1, \infty) is not compact.
prove directly by definition that [1, \infty) is not compact.