*If direct substitution yields ∞/∞, undefined, then divide by the highest power.lim x→∞ 5x 6 The limit exists even though the function is undefined. To solve an undefined limit, see examples 7 and 8 of limits that need simplification.*

This is a very common problem which is also known as 'the 99 limit problem.' Below you can see three products: '99 Problems,' '99 Problems - Cotton,' '99 Problems - Poly.' To see how these products are currently set up, go to 'Reorder variants.' Once you open this, you can see that we've got four sizes: small, medium, large and XL; four colours: yellow, red, orange, and blue; and three materials: cotton, poly, and wool.

Note: If you look at the variants down below, the list is rather long and it's going to be quite challenging to maintain this current setup, which is why we are going to modify it. Change the options so that you only have the size and the colour for the time being.

There will be a break or a discontinuity in the graph at the point where x = a. The following limit does not exist as x approaches 2.

x→2 x – 2 This kind of problem is of the form that will result in 0/0 and usually there is a factor in the numerator and denominator using the value a, that x is approaching.

Once we're here, we're going to look for the snippet called 'product.liquid.' Then we go down and look for the product variant form.

This form is what switches out the variants that you've selected for your product.To solve a limit, see the 4 examples of a limit problems involving direct substitution.When graphing a solution of an equation in calculus, such as example 1, the graph will pass through the y-value 4/3 when x is the value 1.If you’re still having a hard time getting it, solve several different examples and practice identifying all the forms.This series shows how to solve several types of Calculus limit problems.When you first start your business, you usually only have to organize a small number of products with just a few variants.However, as your business and your products mature, you might find yourself needing to add additional variants to each product, and eventually, you'll reach the limit of variants possible inside of Shopify.This will allow us to get an additional drop-down menu that's hard-coded into our theme.That way, the experience of the user on our page is the same as if they had the three variant option.To do this, we go to 'Products,' search for '99 Problems,' and as you can see below, I have already gone and created a new product for cotton and a new product for polyester.If you want to learn more about this, check out the blog post on how to create a product in shopify Click on '99 Problems - Cotton.' and if we hit 'Reorder variants,' you'll see that we get to distinguish between the size (small, medium, large, XL) and colour (red, blue, orange, yellow).

## Comments Solve Limit Problems

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