Question

In: Advanced Math

Using the epsilon-delta definition prove Lim of x^2 =4 when x approaches 2

Using the epsilon-delta definition prove

Lim of x^2 =4 when x approaches 2

Solutions

Expert Solution


Related Solutions

prove by epsilon-delta definition that f:R->R given by f(x)=x^3 is continuous at x=2
prove by epsilon-delta definition that f:R->R given by f(x)=x^3 is continuous at x=2
lim x approaches to 0 ( - cos (x^2) - 1) / e^x^4 - 1 Answer...
lim x approaches to 0 ( - cos (x^2) - 1) / e^x^4 - 1 Answer using l'hopital Please dont skip steps and be detailed with explanation
Evaluate lim x approaches 0+ x^x^x
Evaluate lim x approaches 0+ x^x^x
(a) Find the limit of the following functions: -lim as x approaches 0 (1-cos3(x)/x) -lim as...
(a) Find the limit of the following functions: -lim as x approaches 0 (1-cos3(x)/x) -lim as x approaches 0 (sin(x)/2x) -lim as theta approaches 0 (tan (5theta)/theta) (b) Find the derivative of the following functions: -f(x) = cos (3x2-2x) -f(x) = cos3 (x2/1-x) (c) Determine the period of the following functions: -f(x) = 3 cos(x/2) -f(x)= 21+ 7 sin(2x+3)
   1) lim (e^x + e^(-x) - 2) / (1 - cos 2x) as x approaches...
   1) lim (e^x + e^(-x) - 2) / (1 - cos 2x) as x approaches 0 2) lim sin 5x / 16x as x approaches 0 can someone evaluate the limit
lim x approaches infinity of (6x^3+11x^2+12)^(1/ln(x)
lim x approaches infinity of (6x^3+11x^2+12)^(1/ln(x)
Using the definition of an anti-derivative, prove that x (ln x)3 – 3x (ln x)2 +...
Using the definition of an anti-derivative, prove that x (ln x)3 – 3x (ln x)2 + 6x (ln x) – 6x is an anti-derivative of (ln x)3 (must show all work)
prove using limit lemma that n^2 > nlogn given some epsilon > 0
prove using limit lemma that n^2 > nlogn given some epsilon > 0
Evaluate the following limits using l'Hopital's rule. (a) lim x→0 (sin(x)−x)/(x^2) (b) lim x→0 (1/x) −...
Evaluate the following limits using l'Hopital's rule. (a) lim x→0 (sin(x)−x)/(x^2) (b) lim x→0 (1/x) − (1/e^x−1) (c) lim x→0+ (x^√ x)
. Let f(x) = 3x^2 + 5x. Using the limit definition of derivative prove that f...
. Let f(x) = 3x^2 + 5x. Using the limit definition of derivative prove that f '(x) = 6x + 5 Then, Find the tangent line of f(x) at x = 3 Finally, Find the average rate of change between x = −1 and x = 2
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT