Calculus

Limit as x approaches (pi/2)^- of (x-pi/2)*secx

  1. 👍 0
  2. 👎 0
  3. 👁 240
  1. (x-π/2) secx
    since cosx = sin(π/2-x), we have

    -(π/2-x)/sin(π/2-x)

    that's just like -u/sinu -> -1 as u->0

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    Which describes the end behavior of the graph of the function f(x)=-2x^3-5x^2+x? a. f(x) approaches infinity as x approaches negative infinity and f(x) approaches infinity as x approaches infinity b. f(x) approaches negative

  2. calculus

    A state charges polluters an annual fee of $20 per ton for each ton of pollutant emitted into the atmosphere, up to a maximum of 4,000 tons. No fees are charged for emissions beyond the 4,000-ton limit. Write a piecewise de nition

  3. Calculus

    Find the limit lim as x approaches (pi/2) e^(tanx) I have the answer to be zero: t = tanx lim as t approaches negative infi e^t = 0 Why is tan (pi/2) approaching negative infinity is my question?

  4. Math (Limits)

    What is the limit of g(x)=x as x approaches pi? Would it just be pi??

  1. Calculus

    Let f be a function defined for all real numbers. Which of the following statements must be true about f? Which might be true? Which must be false? Justify your answers. (a) lim of f(x) as x approaches a = f(a) (b) If the lim of

  2. Calculus Limits

    Question: If lim(f(x)/x)=-5 as x approaches 0, then lim(x^2(f(-1/x^2))) as x approaches infinity is equal to (a) 5 (b) -5 (c) -infinity (d) 1/5 (e) none of these The answer key says (a) 5. So this is what I know: Since

  3. Calculus

    find the derivative y= csc^-1 (secx) 0 less than or equal to x less than or equal to 2¤Ð what did i do wrong? - 1/ secx sqrt(secx^2 -1) * secxtanx

  4. calculus

    find the limit of f'(x) = 1/(√x) using the limit definition of derivative as x approaches 0.

  1. math

    lim x->0 sinx secx / x use the fact that the limit as x approaches 1 of (sinx / x) = 1

  2. 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))

  3. Math

    How do I find the limit as x approaches 4 from the right when f(x)= (4-x)/l4-xl ?

  4. Calculus

    1. Evaluate the function at the given numbers (correct to six decimals places). Use the results to guess the value of the limit,or explain why it does not exist. F(t)=( t^(1/3) - 1)/(t^(1/2) - 1) ; t= 1.5,1.2,1.1,1.01,1.001; The

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