Math Problem Solver

11–12 (i)Completethetableandmakeaguessaboutthelimit

indicated. (ii)Confirmyour conclusions about the limit by

graphingafunctionoveranappropriate interval. [Note: For

thetrigonometricfunctions,besuretoputyourcalculatingand

graphingutilitiesinradianmode.] ■

11. f(x)= sin2x

x ; lim

x→0

f(x)

−0.1 x

f(x)

−0.01 −0.001 0.001 0.01 0.1

TableEx-11

12. f(x)=cosx−1

x2

; lim

x→0

f(x)

−0.5 x

f(x)

−0.05 −0.005 0.005 0.05 0.5, this is the statement of q 11 and 12 along with their tables