Is Global Warming/Climate change real?

Is Global Warming/Climate change real? And if so how you can be sure its man-made?
Before humans started burning fossil fuels at the start of the industrial revolution, the level of CO2 in our atmosphere was around 260 ppm. And now, 150 years later, the level of CO2 is around 413 ppm and steadily rising every single year. 
Those two statistics are the most important numbers regarding climate change. 
The last time CO2 levels were this high was about 2.6 million years ago, and the Earth was so warm, there were palm trees at the North and South poles.At the time the amount of CO2 had increased gradually over millions of years. Our increase has occurred in the blink of an eye. 
GWCC is definitely man made.