01 - Preheat the oven to 400°F. Grease an 8-inch square baking pan or a 9-inch round skillet with butter or cooking spray.
02 - In a large mixing bowl, whisk together the all-purpose flour, yellow cornmeal, granulated sugar, baking powder, and salt until evenly blended.
03 - In a separate bowl, beat the eggs, then whisk in the whole milk, vegetable oil, and melted unsalted butter until smooth and fully combined.
04 - Pour the wet ingredients into the dry ingredients. Stir gently with a spatula or wooden spoon until just combined. Do not overmix as this can result in tough cornbread.
05 - Gently fold in the chopped jalapeños, corn kernels, and shredded sharp cheddar cheese if using, until evenly distributed throughout the batter.
06 - Pour the batter into the prepared baking pan or skillet. Use a spatula to spread the batter evenly to ensure uniform baking.
07 - Bake for 22 to 25 minutes, or until the top is golden brown and a toothpick inserted into the center comes out clean.
08 - While the cornbread bakes, combine the honey, fresh lime juice, lime zest, and pinch of salt in a small saucepan over low heat. Warm gently for 2 to 3 minutes, stirring occasionally, until fluid and fragrant.
09 - Remove the cornbread from the oven. While still warm, drizzle the lime honey glaze evenly over the top. Allow to cool slightly for 5 to 10 minutes before slicing and serving.