Question
Evaluate the limit
32
Evaluate
x→+∞lim(x2+429)10(2x4−137)5
Rewrite the expression
x→+∞lim(x2(1+x2429))10(x4(2−x4137))5
Calculate
x→+∞limx20(1+x2429)10x20(2−x4137)5
Reduce the fraction
x→+∞lim(1+x2429)10(2−x4137)5
Rewrite the expression
limx→+∞((1+x2429)10)limx→+∞((2−x4137)5)
Calculate
More Steps
![solution-arrow](../../wwwstatic/images/solution-arrow-down-1.svg)
Evaluate
x→+∞lim((2−x4137)5)
Rewrite the expression
(x→+∞lim(2−x4137))5
Calculate
More Steps
![solution-arrow](../../wwwstatic/images/solution-arrow-down-2.svg)
Evaluate
x→+∞lim(2−x4137)
Rewrite the expression
x→+∞lim(2)+x→+∞lim(−x4137)
Calculate
2+x→+∞lim(−x4137)
Calculate
2+0
Calculate
2
25
Evaluate the power
32
limx→+∞((1+x2429)10)32
Calculate
More Steps
![solution-arrow](../../wwwstatic/images/solution-arrow-down-1.svg)
Evaluate
x→+∞lim((1+x2429)10)
Rewrite the expression
(x→+∞lim(1+x2429))10
Calculate
More Steps
![solution-arrow](../../wwwstatic/images/solution-arrow-down-2.svg)
Evaluate
x→+∞lim(1+x2429)
Rewrite the expression
x→+∞lim(1)+x→+∞lim(x2429)
Calculate
1+x→+∞lim(x2429)
Calculate
1+0
Calculate
1
110
Evaluate the power
1
132
Solution
32
Show Solution
![solution-arrow](data:image/svg+xml;base64,PHN2ZyB3aWR0aD0iMTciIGhlaWdodD0iMTYiIHZpZXdCb3g9IjAgMCAxNyAxNiIgZmlsbD0ibm9uZSIgeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzIwMDAvc3ZnIj4KPHBhdGggZD0iTTguNSAyLjY2Nzk3TDguNSAxMi42NjgiIHN0cm9rZT0id2hpdGUiIHN0cm9rZS13aWR0aD0iMS41IiBzdHJva2UtbGluZWNhcD0icm91bmQiIHN0cm9rZS1saW5lam9pbj0icm91bmQiLz4KPHBhdGggZD0iTTEyLjUgOC42Njc5N0w4LjUgMTIuNjY4TDQuNSA4LjY2Nzk3IiBzdHJva2U9IndoaXRlIiBzdHJva2Utd2lkdGg9IjEuNSIgc3Ryb2tlLWxpbmVjYXA9InJvdW5kIiBzdHJva2UtbGluZWpvaW49InJvdW5kIi8+Cjwvc3ZnPgo=)