Typewriter Asymptote

2x2 grid, based on the famous novel, create the following: ƒ(x) = [VARIABLE_SUBJECT]
lim (x → [VARIABLE_STATE]) ƒ(x)

Variables: 
[VARIABLE_SUBJECT] = "AI Inference Black Typewriter in AI Inference Environment" 
[VARIABLE_STATE] = "$Book miniature world containing villains and heroes" 

[CALCULUS_EXECUTION]
Render the exact threshold for the asymptote. 
On the left is 100% [VARIABLE_SUBJECT] — metal buttons, ribbons, paper, dust, mechanical weight. 
Near the right is [VARIABLE_STATE] — miniature forests, castles, roads, characters, and weather systems emerging from the text. 
This transformation is by no means ordinary fantasy effects. It must be a mathematical squeeze of language into physical reality. 
The letters you type rise from the paper like black symbols, then unfold into trees, towers, birds, rivers, and tiny figures. 
The asymptote should pass through the paper: on the left is text, on the right is the world. 
Warm lighting, rich details, magical realism, close-up perspectives