Direction of electric field? See picture

Answer 1

Electric field is electric force per unit charge. And the direction of the field is the direction of the electric force it would exert on a positive test charge.

If a positive test charge is placed at point #P#.
Force due to #+Q# charge on the test charge would be repulsive. Therefore, direction of force at #P# would be away from #+Q#
#vecE_([+Q]->P)#

Similarly, force due to #-Q# charge on the test charge would be attractive. Therefore, direction of force at #P# would be towards #-Q#
#vecE_(P->[-Q])#

Draw two vectors at point #P# of equal magnitude and directions as discussed above. The resultant of these two vectors will point in a direction as shown in the figure below.

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Answer 2

Sebastian Acosta

I cannot see the picture, but the direction of the electric field is defined as the direction a positive test charge would move when placed in the field.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.