1. If >

f(x)={1+sinx,ifx<0

cosx,0x

sinx,ifx>

then lim()

2. Which of the following is a possibility if we know that lim()= a) a=1, ()=(2)/(1)^2

b) a=5+, ()=(+1)/(5)

c) a=+, ()= cot x, >0

d) a=(/2)+, ()=(sec)/

3.

Let()=

1+,<1

^2,1<1

2,1

For how many values of a the limit lim()limxaf(x) does NOT exist?

a) 0

b)1

c)2

d)3

4. If sinx=a and sec=, , [0,()/2] then cos() is equal to: