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You can limit your data usage by turning off mobile data. You'll then not be able to access the internet using the mobile network. You can still use Wi-Fi even though mobile data is turned off.
Find "Mobile Network"
Slide your finger down the display starting from the top edge of your phone.
Press Network Connections.
Press Mobile Network.
Turn mobile data on or off
Press the indicator next to "Data Services" to turn the function on or off.
Return to the home screen
Slide your finger up the display starting from the bottom edge of your phone to return to the home screen.