When you put your finger on a fret and pluck the string it produces a certain pitch, or 'note'. When you press down on the fret and push upwards )literally bending it, don't worry it wont break), you change the pitch or 'note', or in other words the sound becomes higher.
The tab notation 3^5, does NOT mean you move your finger from the third fret, it simply means you push the string upwards untill it produces the pitch equal to the one you would get from plucking the string with the finger on fifth fret.
Most string bending occurs on the e,B,and G strings, because they are thinner and easier to bend. Its gonna hurt, but you just have to do it anyway. As you get into the tablature that requires bending the string up and holding it there, you'll need lots of finger strength.
String bending produces a special sound, kind of wha, slightly distorted effect, and you wont get far without learning it. As always practice makes perfect.... try some CCR, and other older bands before they had lots of effects to work with to find string bends.
SO, in conclusion:
String bending = pushing down and pulling upwards on the string NOT lifting the finger, but moving it on the fret board towards the e string.
PUSH DOWN, PULL FORWARDS
... by the way are you the same guy under a differnt screen name??
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