limit as x approaches infinity of x-3x^4

{ "query": { "display": "$$\\lim_{x\\to\\:\\infty\\:}\\left(x-3x^{4}\\right)$$", "symbolab_question": "BIG_OPERATOR#\\lim _{x\\to \\infty }(x-3x^{4})" }, "solution": { "level": "PERFORMED", "subject": "Calculus", "topic": "Limits", "subTopic": "SingleVar", "default": "-\\infty ", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "$$\\lim_{x\\to\\:\\infty\\:}\\left(x-3x^{4}\\right)=-\\infty\\:$$", "input": "\\lim_{x\\to\\:\\infty\\:}\\left(x-3x^{4}\\right)", "steps": [ { "type": "step", "primary": "Apply Infinity Property: $$\\lim_{x\\to\\pm\\infty}\\left(ax^{n}+\\cdots+bx+c\\right)=-\\infty,\\:a<0,\\:$$n is even<br/>$$a=-3,\\:n=4$$", "result": "=-\\infty\\:" } ], "meta": { "solvingClass": "Limits", "practiceLink": "/practice/limits-practice", "practiceTopic": "Limits" } }, "plot_output": { "meta": { "plotInfo": { "variable": "x", "plotRequest": "yes" }, "showViewLarger": true } }, "meta": { "showVerify": true } }