Calculating limits with trigonomerty

[Tebow15]

i am very confused about these problems, my teacher is hard to understand.

a)lim x^2+x+2/x^2-5x+6
..x->3

b)lim (1/x)-1/x^2-1
..x->1

c)lim x^2+2x-6/x^2+3x-2
..x->2

d)lim x^2tanx
..x->0

e)lim x^2sec^2xcot^2x
..x->0

f)lim x^2sin(1/x)
..x->0

g)lim x^2/sin^2x
..x->4(pi)

h)lim tanx/x^2
..x->3(pi)

possible solutions:

a) DNE
b) 1/2
c) 1/4

for the rest dealing with trigonometry I have no idea how to calculate. Can you guys help me I have a mid-term coming up and I am very nervous

 

[SammyS]

i am very confused about these problems, my teacher is hard to understand.

a)lim x^2+x+2/x^2-5x+6
..x->3

b)lim (1/x)-1/x^2-1
..x->1

c)lim x^2+2x-6/x^2+3x-2
..x->2

d)lim x^2tanx
..x->0

e)lim x^2sec^2xcot^2x
..x->0

f)lim x^2sin(1/x)
..x->0

g)lim x^2/sin^2x
..x->4(pi)

h)lim tanx/x^2
..x->3(pi)

possible solutions:

a) DNE
b) 1/2
c) 1/4

for the rest dealing with trigonometry I have no idea how to calculate. Can you guys help me I have a mid-term coming up and I am very nervous

Hello Tebow15. Welcome to PF !

I see you're new here. According to the rules for posting in this Forum, you should post no more than two problems in anyone thread.

You also need to show some effort at a solution or at understanding the problem before we can help.

What have you tried?

Where are you stuck ?

What do you know about taking limits ?

 

[MathWarrior]

You should try try factoring these.