I saw this in next month's Ensign and it describes perfectly the knowledge I have that helps me through the rough and lonely times. President Uchtdorf said:
"He loves us because He is filled with an infinite measure of holy, pure, and indescribably love. We are important to God not because of our resume but because we are His children. He loves every one of us, even those who are flawed, rejected, awkward, sorrowful, or broken. God's love is so great that He loves even the proud, the selfish, the arrogant, and the wicked.
What this means is that, regardless of our current state, there is hope for us. No matter our distress, no matter our sorrow, no matter our mistakes, our infinitely compassionate Heavenly Father desires that we draw near to Him so that He can draw near to us."