Monitor goes black on game start up - frequency out of range

Let's see what a DxDiag tells us.  You aren't even doing your own part to tell us what GPU is involved, as if a "Black Screen" isn't a graphics problem.

Here's the DxDiag.

I don't immediately see anything that should be that drastic.  I would anticipate spots of slowness, but not a failure to play.  Your drivers are four months old, which isn't usually a big deal, unless the game is quite new, which is still the case for this game.  I would see whether getting drivers from nVIDIA, not Microsoft or Lenovo, is a help.  Next time a DxDiag is suggested, put it inside Spoiler tags, or store it on Pastebin and include a link.  

      Processor: Intel(R) Core(TM) i5-4460  CPU @ 3.20GHz (4 CPUs), ~3.2GHz
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Display Devices
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          Card name: NVIDIA GeForce GTX 750 Ti
       Manufacturer: NVIDIA
          Chip type: GeForce GTX 750 Ti
  Driver Attributes: Final Retail
   Driver Date/Size: 11/5/2015 12:00:00 AM, 15847936 bytes
        WHQL Logo'd: Yes
     

Plants vs. Zombies: GW2

MINIMUM
OS: Windows 7 64-bit/ Windows 8.1 64-bit/ Windows 10 64-bit
CPU: 3.20 GHz Intel i5 650/ 2.5 GHz AMD Phenom X4 9850
RAM: At least 4GB for Windows 7/ Windows 8.1/ Windows 10
Hard Drive: 20 GB
Video: NVIDIA GeForce GT 640/ AMD Radeon HD 5750
DirectX: 11
Input: Keyboard and Mouse, Analogue Controller
Online Connection Requirements: 192 KBPS or faster internet connection

The minimums (your CPU, for instance) don't promise the best performance, only a minimum.

Thanks.

Does anyone else have an idea why this might be happening?

I see that other folks are encountering this issue now.

http://answers.ea.com/t5/Technical-Issues/Black-screen/m-p/5211661#U5211661

same thing happened to me pls find fix i cant play for this reason

I believe this is usually the result of the game trying to run in an unsupported resolution that the monitor cannot handle.

Here are two different ways to tackle this:

Go to your Documents folder and locate PvZ:GW2's folder.  Rename it (or delete it).  Launching the game should recreate these files and it will launch with default values.

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Manually change the resolution.

Locate \settings\PROF_SAVE_profile

Edit with Notepad

You should see lines like this:

GstRender.FullscreenWidth xxxx

GstRender.FullscreenHeight xxxx

Change them to match your desktop's native resolution (i.e. 1920x1080 etc)