Math

Evaluate the limit using the appropriate Limit Law(s). (If an answer does not exist, enter DNE.)
lim
t → −1
(t2 + 1)^4(t + 3)^5

  1. 👍
  2. 👎
  3. 👁
  1. ((-1)^2 + 1)^4 (-1 + 3)^5
    = (1+1)^4 (2)^5
    = 2^4 * 2^5
    = 2^9
    = 512

    1. 👍
    2. 👎
    👤
    oobleck

Respond to this Question

First Name

Your Response

Similar Questions

  1. calculus

    Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does not exist, enter DNE.) {0, 4, 0, 0, 4, 0, 0, 0, 4, ...}

  2. Calculus 1

    Find the number c that satisfies the conclusion of the Mean Value Theorem on the given interval. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) f(x) = sqrt(x), [0,16]

  3. Calculus

    Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does not exist, enter DNE.) limit n approaches infinity of an = e^(−6/sqrt(n))

  4. calculus

    Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does not exist, enter DNE.) An = cos(n/8)

  1. Pre-Calc Helppp!!!

    Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an answer does not exist, enter DNE. Round your answers to one decimal place. Below, enter your answers so that B1 is smaller than

  2. Calculus

    Find the number c that satisfies the conclusion of the Mean Value Theorem on the given interval. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) f(x) = √x , [0, 25]

  3. Calculus

    Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim x→∞ sqrt(25x^2 + x) − 5x

  4. calculus 1

    Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) f(x) = 4x3 + x2 + 4x

  1. Calculus 1

    Consider the following. B(x) = 3x^(2/3) − x (a) Find the interval of increase.(Enter your answer using interval notation.) Find the interval of decrease. (Enter your answer using interval notation.) (b) Find the local maximum

  2. math

    Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim x→∞ (sqrt(49x^2+x)−7x)

  3. Calculus

    Hi! My question is: Given that f is a function defined by f(x) = (2x - 2) / (x^2 +x - 2) a) For what values of x is f(x) discontinuous? b) At each point of discontinuity found in part a, determine whether f(x) has a limit and, if

  4. Calculus

    The area A of the region S that lies under the graph of the continuous function is the limit of the sum of the areas of approximating rectangles. A = lim n → ∞ [f(x1)Δx + f(x2)Δx + . . . + f(xn)Δx] Use this definition to

You can view more similar questions or ask a new question.