Find the indicated limit, if it exists.

Ans: 7 ( limit does exist)

Explanation:
The limit exists only if we apply the limits -be it left hand or right hand- the answers to both should be 7 because at x = 0 the value is constant.

Left hand limit( x < 0):


Right hand limit (x > 0):


Since upon applying the limits, the answers to all is 7 (same). Hence limit exists!