et-1 t-07+2te-2t-7et Given that lim [7427][h(r)]] = = = 3 use the Rules of Limits and 28 - differentiation (for reducing the expression) to evaluate lim{[h(t)][2t — }]}. 0+1

x* + x² - 1 =) Find lim

lim (2x-5x) is x--2

Evaluate lim(1/x)-(1/(ex-1)) as x approaches 0

Show the steps needed to evaluate lim(1 + )"

3x 2х 2) Lim (- х-1 х+1 X → 00

Show that lim (x³ - x) = 6 in the following steps. Do not use derivatives. x-2 (a) Show: if | - 2| < 1, then |x³ – x − 6| ≤ 18.

Evaluate the following limits: limx approaches -3/2 from the left (8x3+27) / (4x2+12x+9) limx approaches negative infinity (3x+sqrt(9x2-6x+3)) limx approaches 0 sin(x) tan2(x) csc(3x3)

Use 2'Hospital to determine lim In X