By Vivek Kumar China’s services sector grew slower than expected in June, marking its weakest pace in eight months, while confidence hit a four-year low, according to a private-sector survey released on Wednesday, suggesting that the world’s second-biggest economy is still not out of the woods. The Caixin services purchasing managers’ index (PMI) fell to 51.2 from May’s 54.0. This figure was lower than the economists’ estimate of 53.4 but still indicated expansion for the 18th consecutive month, as any number above 50 signifies growth. “The sharp fall in the Caixin services PMI is another sign…