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

Expert Solution

Colby Messinger answered 1 year ago

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

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

(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)

Question

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

lim x approaches to 0 ( - cos (x^2) - 1) / e^x^4 - 1 Answer...

Evaluate lim x approaches 0+ x^x^x

1) lim (e^x + e^(-x) - 2) / (1 - cos 2x) as x approaches...

(a) Find the limit of the following functions: -lim as x approaches 0 (1-cos3(x)/x) -lim as...

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 +...

prove using limit lemma that n^2 > nlogn given some epsilon > 0

. Let f(x) = 3x^2 + 5x. Using the limit definition of derivative prove that f...

Evaluate the following limits using l'Hopital's rule. (a) lim x→0 (sin(x)−x)/(x^2) (b) lim x→0 (1/x) −...